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Finding the Fourth Proportional to 9,010.28, 12,429 and 5,422.74

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Solution

The fourth proportional to 9,010.28, 12,429 and 5,422.74 is: 7,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.28 : 12,429 = 5,422.74 : x
  2. Step 2: Convert to fraction form
    9,010.28/12,429 = 5,422.74/x
  3. Step 3: Cross multiply
    9,010.28x = 12,429 × 5,422.74
  4. Step 4: Simplify right side
    9,010.28x = 67,399,235.46
  5. Step 5: Solve for x
    x = 67,399,235.46/9,010.28
  6. Step 6: Final answer
    x = 7,480.26

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1.5x scale

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.