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Finding the Fourth Proportional to 8,522.83, 12,787.97 and 2,980.15

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Solution

The fourth proportional to 8,522.83, 12,787.97 and 2,980.15 is: 4,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.83 : 12,787.97 = 2,980.15 : x
  2. Step 2: Convert to fraction form
    8,522.83/12,787.97 = 2,980.15/x
  3. Step 3: Cross multiply
    8,522.83x = 12,787.97 × 2,980.15
  4. Step 4: Simplify right side
    8,522.83x = 38,110,068.80
  5. Step 5: Solve for x
    x = 38,110,068.80/8,522.83
  6. Step 6: Final answer
    x = 4,471.53

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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.