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Finding the Fourth Proportional to 20,324.16, 30,402 and 19,080

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Solution

The fourth proportional to 20,324.16, 30,402 and 19,080 is: 28,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.16 : 30,402 = 19,080 : x
  2. Step 2: Convert to fraction form
    20,324.16/30,402 = 19,080/x
  3. Step 3: Cross multiply
    20,324.16x = 30,402 × 19,080
  4. Step 4: Simplify right side
    20,324.16x = 580,070,160
  5. Step 5: Solve for x
    x = 580,070,160/20,324.16
  6. Step 6: Final answer
    x = 28,540.92

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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.