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Finding the Fourth Proportional to 3,917.71, 5,875.16 and 1,143.66

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Solution

The fourth proportional to 3,917.71, 5,875.16 and 1,143.66 is: 1,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.71 : 5,875.16 = 1,143.66 : x
  2. Step 2: Convert to fraction form
    3,917.71/5,875.16 = 1,143.66/x
  3. Step 3: Cross multiply
    3,917.71x = 5,875.16 × 1,143.66
  4. Step 4: Simplify right side
    3,917.71x = 6,719,188.34
  5. Step 5: Solve for x
    x = 6,719,188.34/3,917.71
  6. Step 6: Final answer
    x = 1,715.08

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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.