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Finding the Fourth Proportional to 20,809.92, 28,718.28 and 11,378.64

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Solution

The fourth proportional to 20,809.92, 28,718.28 and 11,378.64 is: 15,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.92 : 28,718.28 = 11,378.64 : x
  2. Step 2: Convert to fraction form
    20,809.92/28,718.28 = 11,378.64/x
  3. Step 3: Cross multiply
    20,809.92x = 28,718.28 × 11,378.64
  4. Step 4: Simplify right side
    20,809.92x = 326,774,969.54
  5. Step 5: Solve for x
    x = 326,774,969.54/20,809.92
  6. Step 6: Final answer
    x = 15,702.85

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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.