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Finding the Fourth Proportional to 3,468.98, 5,203.47 and 871.91

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Solution

The fourth proportional to 3,468.98, 5,203.47 and 871.91 is: 1,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.98 : 5,203.47 = 871.91 : x
  2. Step 2: Convert to fraction form
    3,468.98/5,203.47 = 871.91/x
  3. Step 3: Cross multiply
    3,468.98x = 5,203.47 × 871.91
  4. Step 4: Simplify right side
    3,468.98x = 4,536,957.53
  5. Step 5: Solve for x
    x = 4,536,957.53/3,468.98
  6. Step 6: Final answer
    x = 1,307.87

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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.