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Finding the Fourth Proportional to 2,391.59, 3,587.72 and 1,157.98

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Solution

The fourth proportional to 2,391.59, 3,587.72 and 1,157.98 is: 1,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.59 : 3,587.72 = 1,157.98 : x
  2. Step 2: Convert to fraction form
    2,391.59/3,587.72 = 1,157.98/x
  3. Step 3: Cross multiply
    2,391.59x = 3,587.72 × 1,157.98
  4. Step 4: Simplify right side
    2,391.59x = 4,154,508.01
  5. Step 5: Solve for x
    x = 4,154,508.01/2,391.59
  6. Step 6: Final answer
    x = 1,737.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.