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Finding the Fourth Proportional to 20,577.84, 30,862.60 and 5,787.44

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Solution

The fourth proportional to 20,577.84, 30,862.60 and 5,787.44 is: 8,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.84 : 30,862.60 = 5,787.44 : x
  2. Step 2: Convert to fraction form
    20,577.84/30,862.60 = 5,787.44/x
  3. Step 3: Cross multiply
    20,577.84x = 30,862.60 × 5,787.44
  4. Step 4: Simplify right side
    20,577.84x = 178,615,445.74
  5. Step 5: Solve for x
    x = 178,615,445.74/20,577.84
  6. Step 6: Final answer
    x = 8,679.99

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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.