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Finding the Fourth Proportional to 8,978.64, 13,470.20 and 5,283.96

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Solution

The fourth proportional to 8,978.64, 13,470.20 and 5,283.96 is: 7,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.64 : 13,470.20 = 5,283.96 : x
  2. Step 2: Convert to fraction form
    8,978.64/13,470.20 = 5,283.96/x
  3. Step 3: Cross multiply
    8,978.64x = 13,470.20 × 5,283.96
  4. Step 4: Simplify right side
    8,978.64x = 71,175,997.99
  5. Step 5: Solve for x
    x = 71,175,997.99/8,978.64
  6. Step 6: Final answer
    x = 7,927.26

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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.