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Finding the Fourth Proportional to 20,610, 30,921.12 and 11,851.20

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Solution

The fourth proportional to 20,610, 30,921.12 and 11,851.20 is: 17,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610 : 30,921.12 = 11,851.20 : x
  2. Step 2: Convert to fraction form
    20,610/30,921.12 = 11,851.20/x
  3. Step 3: Cross multiply
    20,610x = 30,921.12 × 11,851.20
  4. Step 4: Simplify right side
    20,610x = 366,452,377.34
  5. Step 5: Solve for x
    x = 366,452,377.34/20,610
  6. Step 6: Final answer
    x = 17,780.32

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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.