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Finding the Fourth Proportional to 10,357.92, 15,614.96 and 9,689.76

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Solution

The fourth proportional to 10,357.92, 15,614.96 and 9,689.76 is: 14,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.92 : 15,614.96 = 9,689.76 : x
  2. Step 2: Convert to fraction form
    10,357.92/15,614.96 = 9,689.76/x
  3. Step 3: Cross multiply
    10,357.92x = 15,614.96 × 9,689.76
  4. Step 4: Simplify right side
    10,357.92x = 151,305,214.81
  5. Step 5: Solve for x
    x = 151,305,214.81/10,357.92
  6. Step 6: Final answer
    x = 14,607.68

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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.