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Finding the Fourth Proportional to 31,472.76, 43,430.74 and 17,322.88

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Solution

The fourth proportional to 31,472.76, 43,430.74 and 17,322.88 is: 23,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.76 : 43,430.74 = 17,322.88 : x
  2. Step 2: Convert to fraction form
    31,472.76/43,430.74 = 17,322.88/x
  3. Step 3: Cross multiply
    31,472.76x = 43,430.74 × 17,322.88
  4. Step 4: Simplify right side
    31,472.76x = 752,345,497.33
  5. Step 5: Solve for x
    x = 752,345,497.33/31,472.76
  6. Step 6: Final answer
    x = 23,904.66

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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.