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Finding the Fourth Proportional to 25,365, 38,047.62 and 8,949

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Solution

The fourth proportional to 25,365, 38,047.62 and 8,949 is: 13,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365 : 38,047.62 = 8,949 : x
  2. Step 2: Convert to fraction form
    25,365/38,047.62 = 8,949/x
  3. Step 3: Cross multiply
    25,365x = 38,047.62 × 8,949
  4. Step 4: Simplify right side
    25,365x = 340,488,151.38
  5. Step 5: Solve for x
    x = 340,488,151.38/25,365
  6. Step 6: Final answer
    x = 13,423.54

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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.