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Finding the Fourth Proportional to 5,200.52, 7,802.84 and 2,279.28

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Solution

The fourth proportional to 5,200.52, 7,802.84 and 2,279.28 is: 3,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.52 : 7,802.84 = 2,279.28 : x
  2. Step 2: Convert to fraction form
    5,200.52/7,802.84 = 2,279.28/x
  3. Step 3: Cross multiply
    5,200.52x = 7,802.84 × 2,279.28
  4. Step 4: Simplify right side
    5,200.52x = 17,784,857.16
  5. Step 5: Solve for x
    x = 17,784,857.16/5,200.52
  6. Step 6: Final answer
    x = 3,419.82

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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.