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Finding the Fourth Proportional to 2,087.04, 3,129.60 and 787.68

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Solution

The fourth proportional to 2,087.04, 3,129.60 and 787.68 is: 1,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.04 : 3,129.60 = 787.68 : x
  2. Step 2: Convert to fraction form
    2,087.04/3,129.60 = 787.68/x
  3. Step 3: Cross multiply
    2,087.04x = 3,129.60 × 787.68
  4. Step 4: Simplify right side
    2,087.04x = 2,465,123.33
  5. Step 5: Solve for x
    x = 2,465,123.33/2,087.04
  6. Step 6: Final answer
    x = 1,181.16

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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.