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Finding the Fourth Proportional to 8,478.16, 12,714.64 and 5,862.48

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Solution

The fourth proportional to 8,478.16, 12,714.64 and 5,862.48 is: 8,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.16 : 12,714.64 = 5,862.48 : x
  2. Step 2: Convert to fraction form
    8,478.16/12,714.64 = 5,862.48/x
  3. Step 3: Cross multiply
    8,478.16x = 12,714.64 × 5,862.48
  4. Step 4: Simplify right side
    8,478.16x = 74,539,259.13
  5. Step 5: Solve for x
    x = 74,539,259.13/8,478.16
  6. Step 6: Final answer
    x = 8,791.91

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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.