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Finding the Fourth Proportional to 40,412, 55,770.29 and 22,507

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Solution

The fourth proportional to 40,412, 55,770.29 and 22,507 is: 31,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,412 : 55,770.29 = 22,507 : x
  2. Step 2: Convert to fraction form
    40,412/55,770.29 = 22,507/x
  3. Step 3: Cross multiply
    40,412x = 55,770.29 × 22,507
  4. Step 4: Simplify right side
    40,412x = 1,255,221,917.03
  5. Step 5: Solve for x
    x = 1,255,221,917.03/40,412
  6. Step 6: Final answer
    x = 31,060.62

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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.