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Finding the Fourth Proportional to 8,256.64, 12,379.92 and 5,663.20

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Solution

The fourth proportional to 8,256.64, 12,379.92 and 5,663.20 is: 8,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.64 : 12,379.92 = 5,663.20 : x
  2. Step 2: Convert to fraction form
    8,256.64/12,379.92 = 5,663.20/x
  3. Step 3: Cross multiply
    8,256.64x = 12,379.92 × 5,663.20
  4. Step 4: Simplify right side
    8,256.64x = 70,109,962.94
  5. Step 5: Solve for x
    x = 70,109,962.94/8,256.64
  6. Step 6: Final answer
    x = 8,491.34

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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.