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Finding the Fourth Proportional to 10,909, 16,437.76 and 9,715.47

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Solution

The fourth proportional to 10,909, 16,437.76 and 9,715.47 is: 14,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909 : 16,437.76 = 9,715.47 : x
  2. Step 2: Convert to fraction form
    10,909/16,437.76 = 9,715.47/x
  3. Step 3: Cross multiply
    10,909x = 16,437.76 × 9,715.47
  4. Step 4: Simplify right side
    10,909x = 159,700,564.15
  5. Step 5: Solve for x
    x = 159,700,564.15/10,909
  6. Step 6: Final answer
    x = 14,639.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.