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Finding the Fourth Proportional to 9,857.92, 14,781.92 and 5,478.40

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Solution

The fourth proportional to 9,857.92, 14,781.92 and 5,478.40 is: 8,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.92 : 14,781.92 = 5,478.40 : x
  2. Step 2: Convert to fraction form
    9,857.92/14,781.92 = 5,478.40/x
  3. Step 3: Cross multiply
    9,857.92x = 14,781.92 × 5,478.40
  4. Step 4: Simplify right side
    9,857.92x = 80,981,270.53
  5. Step 5: Solve for x
    x = 80,981,270.53/9,857.92
  6. Step 6: Final answer
    x = 8,214.84

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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.