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Finding the Fourth Proportional to 20,275.13, 27,978.75 and 11,320.88

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Solution

The fourth proportional to 20,275.13, 27,978.75 and 11,320.88 is: 15,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.13 : 27,978.75 = 11,320.88 : x
  2. Step 2: Convert to fraction form
    20,275.13/27,978.75 = 11,320.88/x
  3. Step 3: Cross multiply
    20,275.13x = 27,978.75 × 11,320.88
  4. Step 4: Simplify right side
    20,275.13x = 316,743,931.41
  5. Step 5: Solve for x
    x = 316,743,931.41/20,275.13
  6. Step 6: Final answer
    x = 15,622.29

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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.