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Finding the Fourth Proportional to 20,482, 30,730.24 and 10,101.04

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Solution

The fourth proportional to 20,482, 30,730.24 and 10,101.04 is: 15,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482 : 30,730.24 = 10,101.04 : x
  2. Step 2: Convert to fraction form
    20,482/30,730.24 = 10,101.04/x
  3. Step 3: Cross multiply
    20,482x = 30,730.24 × 10,101.04
  4. Step 4: Simplify right side
    20,482x = 310,407,383.45
  5. Step 5: Solve for x
    x = 310,407,383.45/20,482
  6. Step 6: Final answer
    x = 15,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.