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Finding the Fourth Proportional to 10,480.74, 15,721.16 and 9,955.18

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Solution

The fourth proportional to 10,480.74, 15,721.16 and 9,955.18 is: 14,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.74 : 15,721.16 = 9,955.18 : x
  2. Step 2: Convert to fraction form
    10,480.74/15,721.16 = 9,955.18/x
  3. Step 3: Cross multiply
    10,480.74x = 15,721.16 × 9,955.18
  4. Step 4: Simplify right side
    10,480.74x = 156,506,977.61
  5. Step 5: Solve for x
    x = 156,506,977.61/10,480.74
  6. Step 6: Final answer
    x = 14,932.82

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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.