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Finding the Fourth Proportional to 19,752.85, 27,255.12 and 11,254.78

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Solution

The fourth proportional to 19,752.85, 27,255.12 and 11,254.78 is: 15,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.85 : 27,255.12 = 11,254.78 : x
  2. Step 2: Convert to fraction form
    19,752.85/27,255.12 = 11,254.78/x
  3. Step 3: Cross multiply
    19,752.85x = 27,255.12 × 11,254.78
  4. Step 4: Simplify right side
    19,752.85x = 306,750,243.20
  5. Step 5: Solve for x
    x = 306,750,243.20/19,752.85
  6. Step 6: Final answer
    x = 15,529.42

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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.