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Finding the Fourth Proportional to 27,649.76, 38,156.92 and 15,074.76

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Solution

The fourth proportional to 27,649.76, 38,156.92 and 15,074.76 is: 20,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.76 : 38,156.92 = 15,074.76 : x
  2. Step 2: Convert to fraction form
    27,649.76/38,156.92 = 15,074.76/x
  3. Step 3: Cross multiply
    27,649.76x = 38,156.92 × 15,074.76
  4. Step 4: Simplify right side
    27,649.76x = 575,206,411.34
  5. Step 5: Solve for x
    x = 575,206,411.34/27,649.76
  6. Step 6: Final answer
    x = 20,803.31

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Half scale
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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.