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Finding the Fourth Proportional to 31,466, 43,422.56 and 17,318.56

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Solution

The fourth proportional to 31,466, 43,422.56 and 17,318.56 is: 23,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466 : 43,422.56 = 17,318.56 : x
  2. Step 2: Convert to fraction form
    31,466/43,422.56 = 17,318.56/x
  3. Step 3: Cross multiply
    31,466x = 43,422.56 × 17,318.56
  4. Step 4: Simplify right side
    31,466x = 752,016,210.71
  5. Step 5: Solve for x
    x = 752,016,210.71/31,466
  6. Step 6: Final answer
    x = 23,899.33

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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.