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Finding the Fourth Proportional to 20,796.16, 31,202 and 12,482.16

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Solution

The fourth proportional to 20,796.16, 31,202 and 12,482.16 is: 18,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.16 : 31,202 = 12,482.16 : x
  2. Step 2: Convert to fraction form
    20,796.16/31,202 = 12,482.16/x
  3. Step 3: Cross multiply
    20,796.16x = 31,202 × 12,482.16
  4. Step 4: Simplify right side
    20,796.16x = 389,468,356.32
  5. Step 5: Solve for x
    x = 389,468,356.32/20,796.16
  6. Step 6: Final answer
    x = 18,727.90

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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.