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Finding the Fourth Proportional to 3,787.38, 5,224.74 and 3,262.50

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Solution

The fourth proportional to 3,787.38, 5,224.74 and 3,262.50 is: 4,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.38 : 5,224.74 = 3,262.50 : x
  2. Step 2: Convert to fraction form
    3,787.38/5,224.74 = 3,262.50/x
  3. Step 3: Cross multiply
    3,787.38x = 5,224.74 × 3,262.50
  4. Step 4: Simplify right side
    3,787.38x = 17,045,714.25
  5. Step 5: Solve for x
    x = 17,045,714.25/3,787.38
  6. Step 6: Final answer
    x = 4,500.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.