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Finding the Fourth Proportional to 8,969.81, 13,454.78 and 3,126.42

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Solution

The fourth proportional to 8,969.81, 13,454.78 and 3,126.42 is: 4,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.81 : 13,454.78 = 3,126.42 : x
  2. Step 2: Convert to fraction form
    8,969.81/13,454.78 = 3,126.42/x
  3. Step 3: Cross multiply
    8,969.81x = 13,454.78 × 3,126.42
  4. Step 4: Simplify right side
    8,969.81x = 42,065,277.66
  5. Step 5: Solve for x
    x = 42,065,277.66/8,969.81
  6. Step 6: Final answer
    x = 4,689.65

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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.