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Finding the Fourth Proportional to 5,157.98, 7,731.44 and 2,381.42

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Solution

The fourth proportional to 5,157.98, 7,731.44 and 2,381.42 is: 3,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.98 : 7,731.44 = 2,381.42 : x
  2. Step 2: Convert to fraction form
    5,157.98/7,731.44 = 2,381.42/x
  3. Step 3: Cross multiply
    5,157.98x = 7,731.44 × 2,381.42
  4. Step 4: Simplify right side
    5,157.98x = 18,411,773.14
  5. Step 5: Solve for x
    x = 18,411,773.14/5,157.98
  6. Step 6: Final answer
    x = 3,569.57

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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.