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Finding the Fourth Proportional to 3,127, 4,690.38 and 787.03

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Solution

The fourth proportional to 3,127, 4,690.38 and 787.03 is: 1,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127 : 4,690.38 = 787.03 : x
  2. Step 2: Convert to fraction form
    3,127/4,690.38 = 787.03/x
  3. Step 3: Cross multiply
    3,127x = 4,690.38 × 787.03
  4. Step 4: Simplify right side
    3,127x = 3,691,469.77
  5. Step 5: Solve for x
    x = 3,691,469.77/3,127
  6. Step 6: Final answer
    x = 1,180.51

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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.