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Finding the Fourth Proportional to 15,195.18, 20,978.12 and 11,581.76

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Solution

The fourth proportional to 15,195.18, 20,978.12 and 11,581.76 is: 15,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.18 : 20,978.12 = 11,581.76 : x
  2. Step 2: Convert to fraction form
    15,195.18/20,978.12 = 11,581.76/x
  3. Step 3: Cross multiply
    15,195.18x = 20,978.12 × 11,581.76
  4. Step 4: Simplify right side
    15,195.18x = 242,963,551.09
  5. Step 5: Solve for x
    x = 242,963,551.09/15,195.18
  6. Step 6: Final answer
    x = 15,989.51

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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.