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Finding the Fourth Proportional to 27,978.74, 41,966.75 and 10,447.20

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Solution

The fourth proportional to 27,978.74, 41,966.75 and 10,447.20 is: 15,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.74 : 41,966.75 = 10,447.20 : x
  2. Step 2: Convert to fraction form
    27,978.74/41,966.75 = 10,447.20/x
  3. Step 3: Cross multiply
    27,978.74x = 41,966.75 × 10,447.20
  4. Step 4: Simplify right side
    27,978.74x = 438,435,030.60
  5. Step 5: Solve for x
    x = 438,435,030.60/27,978.74
  6. Step 6: Final answer
    x = 15,670.29

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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.