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Finding the Fourth Proportional to 7,671.97, 11,510.39 and 2,741.50

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Solution

The fourth proportional to 7,671.97, 11,510.39 and 2,741.50 is: 4,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.97 : 11,510.39 = 2,741.50 : x
  2. Step 2: Convert to fraction form
    7,671.97/11,510.39 = 2,741.50/x
  3. Step 3: Cross multiply
    7,671.97x = 11,510.39 × 2,741.50
  4. Step 4: Simplify right side
    7,671.97x = 31,555,734.19
  5. Step 5: Solve for x
    x = 31,555,734.19/7,671.97
  6. Step 6: Final answer
    x = 4,113.12

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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.