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Finding the Fourth Proportional to 31,472.64, 43,430.64 and 17,322.76

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Solution

The fourth proportional to 31,472.64, 43,430.64 and 17,322.76 is: 23,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.64 : 43,430.64 = 17,322.76 : x
  2. Step 2: Convert to fraction form
    31,472.64/43,430.64 = 17,322.76/x
  3. Step 3: Cross multiply
    31,472.64x = 43,430.64 × 17,322.76
  4. Step 4: Simplify right side
    31,472.64x = 752,338,553.37
  5. Step 5: Solve for x
    x = 752,338,553.37/31,472.64
  6. Step 6: Final answer
    x = 23,904.53

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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.