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Finding the Fourth Proportional to 8,577.84, 11,892.90 and 8,289.84

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Solution

The fourth proportional to 8,577.84, 11,892.90 and 8,289.84 is: 11,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.84 : 11,892.90 = 8,289.84 : x
  2. Step 2: Convert to fraction form
    8,577.84/11,892.90 = 8,289.84/x
  3. Step 3: Cross multiply
    8,577.84x = 11,892.90 × 8,289.84
  4. Step 4: Simplify right side
    8,577.84x = 98,590,238.14
  5. Step 5: Solve for x
    x = 98,590,238.14/8,577.84
  6. Step 6: Final answer
    x = 11,493.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.