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Finding the Fourth Proportional to 8,715.13, 13,013.69 and 6,845.24

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Solution

The fourth proportional to 8,715.13, 13,013.69 and 6,845.24 is: 10,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.13 : 13,013.69 = 6,845.24 : x
  2. Step 2: Convert to fraction form
    8,715.13/13,013.69 = 6,845.24/x
  3. Step 3: Cross multiply
    8,715.13x = 13,013.69 × 6,845.24
  4. Step 4: Simplify right side
    8,715.13x = 89,081,829.64
  5. Step 5: Solve for x
    x = 89,081,829.64/8,715.13
  6. Step 6: Final answer
    x = 10,221.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.