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Finding the Fourth Proportional to 8,314.92, 11,490.93 and 7,429.14

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Solution

The fourth proportional to 8,314.92, 11,490.93 and 7,429.14 is: 10,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.92 : 11,490.93 = 7,429.14 : x
  2. Step 2: Convert to fraction form
    8,314.92/11,490.93 = 7,429.14/x
  3. Step 3: Cross multiply
    8,314.92x = 11,490.93 × 7,429.14
  4. Step 4: Simplify right side
    8,314.92x = 85,367,727.70
  5. Step 5: Solve for x
    x = 85,367,727.70/8,314.92
  6. Step 6: Final answer
    x = 10,266.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.