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Finding the Fourth Proportional to 28,439.98, 42,665 and 9,715.64

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Solution

The fourth proportional to 28,439.98, 42,665 and 9,715.64 is: 14,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,439.98 : 42,665 = 9,715.64 : x
  2. Step 2: Convert to fraction form
    28,439.98/42,665 = 9,715.64/x
  3. Step 3: Cross multiply
    28,439.98x = 42,665 × 9,715.64
  4. Step 4: Simplify right side
    28,439.98x = 414,517,780.60
  5. Step 5: Solve for x
    x = 414,517,780.60/28,439.98
  6. Step 6: Final answer
    x = 14,575.18

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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.