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Finding the Fourth Proportional to 20,448, 28,211.76 and 12,486.24

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Solution

The fourth proportional to 20,448, 28,211.76 and 12,486.24 is: 17,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 28,211.76 = 12,486.24 : x
  2. Step 2: Convert to fraction form
    20,448/28,211.76 = 12,486.24/x
  3. Step 3: Cross multiply
    20,448x = 28,211.76 × 12,486.24
  4. Step 4: Simplify right side
    20,448x = 352,258,806.18
  5. Step 5: Solve for x
    x = 352,258,806.18/20,448
  6. Step 6: Final answer
    x = 17,227.05

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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.