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Finding the Fourth Proportional to 2,174.49, 3,262.08 and 787.68

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Solution

The fourth proportional to 2,174.49, 3,262.08 and 787.68 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.49 : 3,262.08 = 787.68 : x
  2. Step 2: Convert to fraction form
    2,174.49/3,262.08 = 787.68/x
  3. Step 3: Cross multiply
    2,174.49x = 3,262.08 × 787.68
  4. Step 4: Simplify right side
    2,174.49x = 2,569,475.17
  5. Step 5: Solve for x
    x = 2,569,475.17/2,174.49
  6. Step 6: Final answer
    x = 1,181.64

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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.