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Finding the Fourth Proportional to 3,252.49, 4,878.74 and 787.30

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Solution

The fourth proportional to 3,252.49, 4,878.74 and 787.30 is: 1,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.49 : 4,878.74 = 787.30 : x
  2. Step 2: Convert to fraction form
    3,252.49/4,878.74 = 787.30/x
  3. Step 3: Cross multiply
    3,252.49x = 4,878.74 × 787.30
  4. Step 4: Simplify right side
    3,252.49x = 3,841,049.22
  5. Step 5: Solve for x
    x = 3,841,049.22/3,252.49
  6. Step 6: Final answer
    x = 1,180.96

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1.5x scale

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.