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Finding the Fourth Proportional to 10,967.40, 16,443 and 5,420.52

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Solution

The fourth proportional to 10,967.40, 16,443 and 5,420.52 is: 8,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.40 : 16,443 = 5,420.52 : x
  2. Step 2: Convert to fraction form
    10,967.40/16,443 = 5,420.52/x
  3. Step 3: Cross multiply
    10,967.40x = 16,443 × 5,420.52
  4. Step 4: Simplify right side
    10,967.40x = 89,129,610.36
  5. Step 5: Solve for x
    x = 89,129,610.36/10,967.40
  6. Step 6: Final answer
    x = 8,126.78

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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.