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Finding the Fourth Proportional to 1,792.43, 2,471.41 and 1,543.32

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Solution

The fourth proportional to 1,792.43, 2,471.41 and 1,543.32 is: 2,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.43 : 2,471.41 = 1,543.32 : x
  2. Step 2: Convert to fraction form
    1,792.43/2,471.41 = 1,543.32/x
  3. Step 3: Cross multiply
    1,792.43x = 2,471.41 × 1,543.32
  4. Step 4: Simplify right side
    1,792.43x = 3,814,178.41
  5. Step 5: Solve for x
    x = 3,814,178.41/1,792.43
  6. Step 6: Final answer
    x = 2,127.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.