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Finding the Fourth Proportional to 9,161.28, 12,642.54 and 4,969.52

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Solution

The fourth proportional to 9,161.28, 12,642.54 and 4,969.52 is: 6,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.28 : 12,642.54 = 4,969.52 : x
  2. Step 2: Convert to fraction form
    9,161.28/12,642.54 = 4,969.52/x
  3. Step 3: Cross multiply
    9,161.28x = 12,642.54 × 4,969.52
  4. Step 4: Simplify right side
    9,161.28x = 62,827,355.38
  5. Step 5: Solve for x
    x = 62,827,355.38/9,161.28
  6. Step 6: Final answer
    x = 6,857.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.