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Finding the Fourth Proportional to 29,702, 40,988.76 and 17,765.84

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Solution

The fourth proportional to 29,702, 40,988.76 and 17,765.84 is: 24,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 40,988.76 = 17,765.84 : x
  2. Step 2: Convert to fraction form
    29,702/40,988.76 = 17,765.84/x
  3. Step 3: Cross multiply
    29,702x = 40,988.76 × 17,765.84
  4. Step 4: Simplify right side
    29,702x = 728,199,751.96
  5. Step 5: Solve for x
    x = 728,199,751.96/29,702
  6. Step 6: Final answer
    x = 24,516.86

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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.