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Finding the Fourth Proportional to 2,697.75, 4,047.84 and 1,543.50

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Solution

The fourth proportional to 2,697.75, 4,047.84 and 1,543.50 is: 2,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.75 : 4,047.84 = 1,543.50 : x
  2. Step 2: Convert to fraction form
    2,697.75/4,047.84 = 1,543.50/x
  3. Step 3: Cross multiply
    2,697.75x = 4,047.84 × 1,543.50
  4. Step 4: Simplify right side
    2,697.75x = 6,247,841.04
  5. Step 5: Solve for x
    x = 6,247,841.04/2,697.75
  6. Step 6: Final answer
    x = 2,315.95

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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.