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Finding the Fourth Proportional to 8,524.58, 12,787.47 and 2,977.29

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Solution

The fourth proportional to 8,524.58, 12,787.47 and 2,977.29 is: 4,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.58 : 12,787.47 = 2,977.29 : x
  2. Step 2: Convert to fraction form
    8,524.58/12,787.47 = 2,977.29/x
  3. Step 3: Cross multiply
    8,524.58x = 12,787.47 × 2,977.29
  4. Step 4: Simplify right side
    8,524.58x = 38,072,006.56
  5. Step 5: Solve for x
    x = 38,072,006.56/8,524.58
  6. Step 6: Final answer
    x = 4,466.15

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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.