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Finding the Fourth Proportional to 25,287.98, 37,913.25 and 12,127.82

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Solution

The fourth proportional to 25,287.98, 37,913.25 and 12,127.82 is: 18,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.98 : 37,913.25 = 12,127.82 : x
  2. Step 2: Convert to fraction form
    25,287.98/37,913.25 = 12,127.82/x
  3. Step 3: Cross multiply
    25,287.98x = 37,913.25 × 12,127.82
  4. Step 4: Simplify right side
    25,287.98x = 459,805,071.62
  5. Step 5: Solve for x
    x = 459,805,071.62/25,287.98
  6. Step 6: Final answer
    x = 18,182.75

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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.