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Finding the Fourth Proportional to 10,957.40, 16,440 and 3,561.86

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Solution

The fourth proportional to 10,957.40, 16,440 and 3,561.86 is: 5,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.40 : 16,440 = 3,561.86 : x
  2. Step 2: Convert to fraction form
    10,957.40/16,440 = 3,561.86/x
  3. Step 3: Cross multiply
    10,957.40x = 16,440 × 3,561.86
  4. Step 4: Simplify right side
    10,957.40x = 58,556,978.40
  5. Step 5: Solve for x
    x = 58,556,978.40/10,957.40
  6. Step 6: Final answer
    x = 5,344.06

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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.