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Finding the Fourth Proportional to 2,677, 4,017.12 and 1,138

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Solution

The fourth proportional to 2,677, 4,017.12 and 1,138 is: 1,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677 : 4,017.12 = 1,138 : x
  2. Step 2: Convert to fraction form
    2,677/4,017.12 = 1,138/x
  3. Step 3: Cross multiply
    2,677x = 4,017.12 × 1,138
  4. Step 4: Simplify right side
    2,677x = 4,571,482.56
  5. Step 5: Solve for x
    x = 4,571,482.56/2,677
  6. Step 6: Final answer
    x = 1,707.69

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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.