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Finding the Fourth Proportional to 9,977.28, 14,965.92 and 8,242.26

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Solution

The fourth proportional to 9,977.28, 14,965.92 and 8,242.26 is: 12,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.28 : 14,965.92 = 8,242.26 : x
  2. Step 2: Convert to fraction form
    9,977.28/14,965.92 = 8,242.26/x
  3. Step 3: Cross multiply
    9,977.28x = 14,965.92 × 8,242.26
  4. Step 4: Simplify right side
    9,977.28x = 123,353,003.78
  5. Step 5: Solve for x
    x = 123,353,003.78/9,977.28
  6. Step 6: Final answer
    x = 12,363.39

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1.5x scale

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.