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Finding the Fourth Proportional to 9,906.96, 14,861.88 and 5,287.44

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Solution

The fourth proportional to 9,906.96, 14,861.88 and 5,287.44 is: 7,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.96 : 14,861.88 = 5,287.44 : x
  2. Step 2: Convert to fraction form
    9,906.96/14,861.88 = 5,287.44/x
  3. Step 3: Cross multiply
    9,906.96x = 14,861.88 × 5,287.44
  4. Step 4: Simplify right side
    9,906.96x = 78,581,298.79
  5. Step 5: Solve for x
    x = 78,581,298.79/9,906.96
  6. Step 6: Final answer
    x = 7,931.93

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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.