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Finding the Fourth Proportional to 2,543.45, 3,812.13 and 1,446.30

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Solution

The fourth proportional to 2,543.45, 3,812.13 and 1,446.30 is: 2,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.45 : 3,812.13 = 1,446.30 : x
  2. Step 2: Convert to fraction form
    2,543.45/3,812.13 = 1,446.30/x
  3. Step 3: Cross multiply
    2,543.45x = 3,812.13 × 1,446.30
  4. Step 4: Simplify right side
    2,543.45x = 5,513,483.62
  5. Step 5: Solve for x
    x = 5,513,483.62/2,543.45
  6. Step 6: Final answer
    x = 2,167.72

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1.5x scale

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.