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Finding the Fourth Proportional to 10,901.80, 16,353.90 and 3,977.80

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Solution

The fourth proportional to 10,901.80, 16,353.90 and 3,977.80 is: 5,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.80 : 16,353.90 = 3,977.80 : x
  2. Step 2: Convert to fraction form
    10,901.80/16,353.90 = 3,977.80/x
  3. Step 3: Cross multiply
    10,901.80x = 16,353.90 × 3,977.80
  4. Step 4: Simplify right side
    10,901.80x = 65,052,543.42
  5. Step 5: Solve for x
    x = 65,052,543.42/10,901.80
  6. Step 6: Final answer
    x = 5,967.14

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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.