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Finding the Fourth Proportional to 2,887.82, 4,332.14 and 939.57

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Solution

The fourth proportional to 2,887.82, 4,332.14 and 939.57 is: 1,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.82 : 4,332.14 = 939.57 : x
  2. Step 2: Convert to fraction form
    2,887.82/4,332.14 = 939.57/x
  3. Step 3: Cross multiply
    2,887.82x = 4,332.14 × 939.57
  4. Step 4: Simplify right side
    2,887.82x = 4,070,347.61
  5. Step 5: Solve for x
    x = 4,070,347.61/2,887.82
  6. Step 6: Final answer
    x = 1,409.49

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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.