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Finding the Fourth Proportional to 29,290, 40,420.14 and 15,861.25

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Solution

The fourth proportional to 29,290, 40,420.14 and 15,861.25 is: 21,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290 : 40,420.14 = 15,861.25 : x
  2. Step 2: Convert to fraction form
    29,290/40,420.14 = 15,861.25/x
  3. Step 3: Cross multiply
    29,290x = 40,420.14 × 15,861.25
  4. Step 4: Simplify right side
    29,290x = 641,113,945.58
  5. Step 5: Solve for x
    x = 641,113,945.58/29,290
  6. Step 6: Final answer
    x = 21,888.49

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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.