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Finding the Fourth Proportional to 8,323.60, 11,463.18 and 8,142.16

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Solution

The fourth proportional to 8,323.60, 11,463.18 and 8,142.16 is: 11,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.60 : 11,463.18 = 8,142.16 : x
  2. Step 2: Convert to fraction form
    8,323.60/11,463.18 = 8,142.16/x
  3. Step 3: Cross multiply
    8,323.60x = 11,463.18 × 8,142.16
  4. Step 4: Simplify right side
    8,323.60x = 93,335,045.67
  5. Step 5: Solve for x
    x = 93,335,045.67/8,323.60
  6. Step 6: Final answer
    x = 11,213.30

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Half scale
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Double scale
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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.