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Finding the Fourth Proportional to 40,997.32, 61,496 and 31,651

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Solution

The fourth proportional to 40,997.32, 61,496 and 31,651 is: 47,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,997.32 : 61,496 = 31,651 : x
  2. Step 2: Convert to fraction form
    40,997.32/61,496 = 31,651/x
  3. Step 3: Cross multiply
    40,997.32x = 61,496 × 31,651
  4. Step 4: Simplify right side
    40,997.32x = 1,946,409,896
  5. Step 5: Solve for x
    x = 1,946,409,896/40,997.32
  6. Step 6: Final answer
    x = 47,476.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.