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Finding the Fourth Proportional to 20,334.92, 28,084.16 and 13,978.32

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Solution

The fourth proportional to 20,334.92, 28,084.16 and 13,978.32 is: 19,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334.92 : 28,084.16 = 13,978.32 : x
  2. Step 2: Convert to fraction form
    20,334.92/28,084.16 = 13,978.32/x
  3. Step 3: Cross multiply
    20,334.92x = 28,084.16 × 13,978.32
  4. Step 4: Simplify right side
    20,334.92x = 392,569,375.41
  5. Step 5: Solve for x
    x = 392,569,375.41/20,334.92
  6. Step 6: Final answer
    x = 19,305.18

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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.