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Finding the Fourth Proportional to 3,917.51, 5,876.28 and 1,545.83

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Solution

The fourth proportional to 3,917.51, 5,876.28 and 1,545.83 is: 2,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.51 : 5,876.28 = 1,545.83 : x
  2. Step 2: Convert to fraction form
    3,917.51/5,876.28 = 1,545.83/x
  3. Step 3: Cross multiply
    3,917.51x = 5,876.28 × 1,545.83
  4. Step 4: Simplify right side
    3,917.51x = 9,083,700.53
  5. Step 5: Solve for x
    x = 9,083,700.53/3,917.51
  6. Step 6: Final answer
    x = 2,318.75

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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.