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Finding the Fourth Proportional to 20,521.67, 30,787.29 and 6,483.11

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Solution

The fourth proportional to 20,521.67, 30,787.29 and 6,483.11 is: 9,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.67 : 30,787.29 = 6,483.11 : x
  2. Step 2: Convert to fraction form
    20,521.67/30,787.29 = 6,483.11/x
  3. Step 3: Cross multiply
    20,521.67x = 30,787.29 × 6,483.11
  4. Step 4: Simplify right side
    20,521.67x = 199,597,233.74
  5. Step 5: Solve for x
    x = 199,597,233.74/20,521.67
  6. Step 6: Final answer
    x = 9,726.17

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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.