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Finding the Fourth Proportional to 25,241, 37,866.38 and 11,390

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Solution

The fourth proportional to 25,241, 37,866.38 and 11,390 is: 17,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,241 : 37,866.38 = 11,390 : x
  2. Step 2: Convert to fraction form
    25,241/37,866.38 = 11,390/x
  3. Step 3: Cross multiply
    25,241x = 37,866.38 × 11,390
  4. Step 4: Simplify right side
    25,241x = 431,298,068.20
  5. Step 5: Solve for x
    x = 431,298,068.20/25,241
  6. Step 6: Final answer
    x = 17,087.20

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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.