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Finding the Fourth Proportional to 8,057.84, 12,086.76 and 5,133.20

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Solution

The fourth proportional to 8,057.84, 12,086.76 and 5,133.20 is: 7,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.84 : 12,086.76 = 5,133.20 : x
  2. Step 2: Convert to fraction form
    8,057.84/12,086.76 = 5,133.20/x
  3. Step 3: Cross multiply
    8,057.84x = 12,086.76 × 5,133.20
  4. Step 4: Simplify right side
    8,057.84x = 62,043,756.43
  5. Step 5: Solve for x
    x = 62,043,756.43/8,057.84
  6. Step 6: Final answer
    x = 7,699.80

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.