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Finding the Fourth Proportional to 10,321.92, 15,560.64 and 9,653.76

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Solution

The fourth proportional to 10,321.92, 15,560.64 and 9,653.76 is: 14,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.92 : 15,560.64 = 9,653.76 : x
  2. Step 2: Convert to fraction form
    10,321.92/15,560.64 = 9,653.76/x
  3. Step 3: Cross multiply
    10,321.92x = 15,560.64 × 9,653.76
  4. Step 4: Simplify right side
    10,321.92x = 150,218,684.01
  5. Step 5: Solve for x
    x = 150,218,684.01/10,321.92
  6. Step 6: Final answer
    x = 14,553.37

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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.