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Finding the Fourth Proportional to 5,158.35, 7,738.83 and 2,387.02

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Solution

The fourth proportional to 5,158.35, 7,738.83 and 2,387.02 is: 3,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.35 : 7,738.83 = 2,387.02 : x
  2. Step 2: Convert to fraction form
    5,158.35/7,738.83 = 2,387.02/x
  3. Step 3: Cross multiply
    5,158.35x = 7,738.83 × 2,387.02
  4. Step 4: Simplify right side
    5,158.35x = 18,472,703.29
  5. Step 5: Solve for x
    x = 18,472,703.29/5,158.35
  6. Step 6: Final answer
    x = 3,581.13

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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.