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Finding the Fourth Proportional to 20,569.95, 30,851.01 and 10,029.39

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Solution

The fourth proportional to 20,569.95, 30,851.01 and 10,029.39 is: 15,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.95 : 30,851.01 = 10,029.39 : x
  2. Step 2: Convert to fraction form
    20,569.95/30,851.01 = 10,029.39/x
  3. Step 3: Cross multiply
    20,569.95x = 30,851.01 × 10,029.39
  4. Step 4: Simplify right side
    20,569.95x = 309,416,811.18
  5. Step 5: Solve for x
    x = 309,416,811.18/20,569.95
  6. Step 6: Final answer
    x = 15,042.18

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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.