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Finding the Fourth Proportional to 8,387.72, 12,581.60 and 4,004.16

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Solution

The fourth proportional to 8,387.72, 12,581.60 and 4,004.16 is: 6,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.72 : 12,581.60 = 4,004.16 : x
  2. Step 2: Convert to fraction form
    8,387.72/12,581.60 = 4,004.16/x
  3. Step 3: Cross multiply
    8,387.72x = 12,581.60 × 4,004.16
  4. Step 4: Simplify right side
    8,387.72x = 50,378,739.46
  5. Step 5: Solve for x
    x = 50,378,739.46/8,387.72
  6. Step 6: Final answer
    x = 6,006.25

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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.