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Finding the Fourth Proportional to 10,887.36, 16,321.05 and 3,957

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Solution

The fourth proportional to 10,887.36, 16,321.05 and 3,957 is: 5,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.36 : 16,321.05 = 3,957 : x
  2. Step 2: Convert to fraction form
    10,887.36/16,321.05 = 3,957/x
  3. Step 3: Cross multiply
    10,887.36x = 16,321.05 × 3,957
  4. Step 4: Simplify right side
    10,887.36x = 64,582,394.85
  5. Step 5: Solve for x
    x = 64,582,394.85/10,887.36
  6. Step 6: Final answer
    x = 5,931.87

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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.