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Finding the Fourth Proportional to 10,493.70, 15,704.10 and 9,618.90

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Solution

The fourth proportional to 10,493.70, 15,704.10 and 9,618.90 is: 14,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.70 : 15,704.10 = 9,618.90 : x
  2. Step 2: Convert to fraction form
    10,493.70/15,704.10 = 9,618.90/x
  3. Step 3: Cross multiply
    10,493.70x = 15,704.10 × 9,618.90
  4. Step 4: Simplify right side
    10,493.70x = 151,056,167.49
  5. Step 5: Solve for x
    x = 151,056,167.49/10,493.70
  6. Step 6: Final answer
    x = 14,394.94

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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.