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Finding the Fourth Proportional to 29,205, 40,302.90 and 15,957

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Solution

The fourth proportional to 29,205, 40,302.90 and 15,957 is: 22,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205 : 40,302.90 = 15,957 : x
  2. Step 2: Convert to fraction form
    29,205/40,302.90 = 15,957/x
  3. Step 3: Cross multiply
    29,205x = 40,302.90 × 15,957
  4. Step 4: Simplify right side
    29,205x = 643,113,375.30
  5. Step 5: Solve for x
    x = 643,113,375.30/29,205
  6. Step 6: Final answer
    x = 22,020.66

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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.