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Finding the Fourth Proportional to 31,400, 43,330.08 and 17,251.52

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Solution

The fourth proportional to 31,400, 43,330.08 and 17,251.52 is: 23,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 43,330.08 = 17,251.52 : x
  2. Step 2: Convert to fraction form
    31,400/43,330.08 = 17,251.52/x
  3. Step 3: Cross multiply
    31,400x = 43,330.08 × 17,251.52
  4. Step 4: Simplify right side
    31,400x = 747,509,741.72
  5. Step 5: Solve for x
    x = 747,509,741.72/31,400
  6. Step 6: Final answer
    x = 23,806.04

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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.