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Finding the Fourth Proportional to 8,854.16, 12,231.16 and 8,387.60

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Solution

The fourth proportional to 8,854.16, 12,231.16 and 8,387.60 is: 11,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.16 : 12,231.16 = 8,387.60 : x
  2. Step 2: Convert to fraction form
    8,854.16/12,231.16 = 8,387.60/x
  3. Step 3: Cross multiply
    8,854.16x = 12,231.16 × 8,387.60
  4. Step 4: Simplify right side
    8,854.16x = 102,590,077.62
  5. Step 5: Solve for x
    x = 102,590,077.62/8,854.16
  6. Step 6: Final answer
    x = 11,586.65

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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.