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Finding the Fourth Proportional to 27,978.24, 41,953.28 and 12,377.60

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Solution

The fourth proportional to 27,978.24, 41,953.28 and 12,377.60 is: 18,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.24 : 41,953.28 = 12,377.60 : x
  2. Step 2: Convert to fraction form
    27,978.24/41,953.28 = 12,377.60/x
  3. Step 3: Cross multiply
    27,978.24x = 41,953.28 × 12,377.60
  4. Step 4: Simplify right side
    27,978.24x = 519,280,918.53
  5. Step 5: Solve for x
    x = 519,280,918.53/27,978.24
  6. Step 6: Final answer
    x = 18,560.17

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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.