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Finding the Fourth Proportional to 2,543.70, 3,811.95 and 1,880.40

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Solution

The fourth proportional to 2,543.70, 3,811.95 and 1,880.40 is: 2,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.70 : 3,811.95 = 1,880.40 : x
  2. Step 2: Convert to fraction form
    2,543.70/3,811.95 = 1,880.40/x
  3. Step 3: Cross multiply
    2,543.70x = 3,811.95 × 1,880.40
  4. Step 4: Simplify right side
    2,543.70x = 7,167,990.78
  5. Step 5: Solve for x
    x = 7,167,990.78/2,543.70
  6. Step 6: Final answer
    x = 2,817.94

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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.