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Finding the Fourth Proportional to 31,438.76, 43,383.88 and 17,288.88

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Solution

The fourth proportional to 31,438.76, 43,383.88 and 17,288.88 is: 23,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.76 : 43,383.88 = 17,288.88 : x
  2. Step 2: Convert to fraction form
    31,438.76/43,383.88 = 17,288.88/x
  3. Step 3: Cross multiply
    31,438.76x = 43,383.88 × 17,288.88
  4. Step 4: Simplify right side
    31,438.76x = 750,058,695.25
  5. Step 5: Solve for x
    x = 750,058,695.25/31,438.76
  6. Step 6: Final answer
    x = 23,857.77

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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.