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Finding the Fourth Proportional to 20,065.12, 30,098.16 and 6,917.32

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Solution

The fourth proportional to 20,065.12, 30,098.16 and 6,917.32 is: 10,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.12 : 30,098.16 = 6,917.32 : x
  2. Step 2: Convert to fraction form
    20,065.12/30,098.16 = 6,917.32/x
  3. Step 3: Cross multiply
    20,065.12x = 30,098.16 × 6,917.32
  4. Step 4: Simplify right side
    20,065.12x = 208,198,604.13
  5. Step 5: Solve for x
    x = 208,198,604.13/20,065.12
  6. Step 6: Final answer
    x = 10,376.15

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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.