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Finding the Fourth Proportional to 20,368.16, 30,531.16 and 12,046.48

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Solution

The fourth proportional to 20,368.16, 30,531.16 and 12,046.48 is: 18,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,368.16 : 30,531.16 = 12,046.48 : x
  2. Step 2: Convert to fraction form
    20,368.16/30,531.16 = 12,046.48/x
  3. Step 3: Cross multiply
    20,368.16x = 30,531.16 × 12,046.48
  4. Step 4: Simplify right side
    20,368.16x = 367,793,008.32
  5. Step 5: Solve for x
    x = 367,793,008.32/20,368.16
  6. Step 6: Final answer
    x = 18,057.25

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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.