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Finding the Fourth Proportional to 20,275.45, 27,978.89 and 11,323.53

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Solution

The fourth proportional to 20,275.45, 27,978.89 and 11,323.53 is: 15,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.45 : 27,978.89 = 11,323.53 : x
  2. Step 2: Convert to fraction form
    20,275.45/27,978.89 = 11,323.53/x
  3. Step 3: Cross multiply
    20,275.45x = 27,978.89 × 11,323.53
  4. Step 4: Simplify right side
    20,275.45x = 316,819,743.66
  5. Step 5: Solve for x
    x = 316,819,743.66/20,275.45
  6. Step 6: Final answer
    x = 15,625.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.