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Finding the Fourth Proportional to 8,314.74, 11,471.40 and 5,487.42

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Solution

The fourth proportional to 8,314.74, 11,471.40 and 5,487.42 is: 7,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.74 : 11,471.40 = 5,487.42 : x
  2. Step 2: Convert to fraction form
    8,314.74/11,471.40 = 5,487.42/x
  3. Step 3: Cross multiply
    8,314.74x = 11,471.40 × 5,487.42
  4. Step 4: Simplify right side
    8,314.74x = 62,948,389.79
  5. Step 5: Solve for x
    x = 62,948,389.79/8,314.74
  6. Step 6: Final answer
    x = 7,570.70

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Half scale
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Double scale
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Similar ratio
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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.