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Finding the Fourth Proportional to 10,489.46, 15,729.98 and 4,641.98

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Solution

The fourth proportional to 10,489.46, 15,729.98 and 4,641.98 is: 6,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.46 : 15,729.98 = 4,641.98 : x
  2. Step 2: Convert to fraction form
    10,489.46/15,729.98 = 4,641.98/x
  3. Step 3: Cross multiply
    10,489.46x = 15,729.98 × 4,641.98
  4. Step 4: Simplify right side
    10,489.46x = 73,018,150.70
  5. Step 5: Solve for x
    x = 73,018,150.70/10,489.46
  6. Step 6: Final answer
    x = 6,961.10

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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.