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Finding the Fourth Proportional to 25,140.54, 37,716 and 7,371.78

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Solution

The fourth proportional to 25,140.54, 37,716 and 7,371.78 is: 11,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,140.54 : 37,716 = 7,371.78 : x
  2. Step 2: Convert to fraction form
    25,140.54/37,716 = 7,371.78/x
  3. Step 3: Cross multiply
    25,140.54x = 37,716 × 7,371.78
  4. Step 4: Simplify right side
    25,140.54x = 278,034,054.48
  5. Step 5: Solve for x
    x = 278,034,054.48/25,140.54
  6. Step 6: Final answer
    x = 11,059.19

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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.