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Finding the Fourth Proportional to 8,784.96, 13,165.13 and 6,591.12

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Solution

The fourth proportional to 8,784.96, 13,165.13 and 6,591.12 is: 9,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.96 : 13,165.13 = 6,591.12 : x
  2. Step 2: Convert to fraction form
    8,784.96/13,165.13 = 6,591.12/x
  3. Step 3: Cross multiply
    8,784.96x = 13,165.13 × 6,591.12
  4. Step 4: Simplify right side
    8,784.96x = 86,772,992.81
  5. Step 5: Solve for x
    x = 86,772,992.81/8,784.96
  6. Step 6: Final answer
    x = 9,877.45

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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.