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Finding the Fourth Proportional to 5,200.62, 7,801.01 and 1,737.88

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Solution

The fourth proportional to 5,200.62, 7,801.01 and 1,737.88 is: 2,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.62 : 7,801.01 = 1,737.88 : x
  2. Step 2: Convert to fraction form
    5,200.62/7,801.01 = 1,737.88/x
  3. Step 3: Cross multiply
    5,200.62x = 7,801.01 × 1,737.88
  4. Step 4: Simplify right side
    5,200.62x = 13,557,219.26
  5. Step 5: Solve for x
    x = 13,557,219.26/5,200.62
  6. Step 6: Final answer
    x = 2,606.85

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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.