Home / 1,541.04-2,126.61-842.43

Finding the Fourth Proportional to 1,541.04, 2,126.61 and 842.43

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Solution

The fourth proportional to 1,541.04, 2,126.61 and 842.43 is: 1,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.04 : 2,126.61 = 842.43 : x
  2. Step 2: Convert to fraction form
    1,541.04/2,126.61 = 842.43/x
  3. Step 3: Cross multiply
    1,541.04x = 2,126.61 × 842.43
  4. Step 4: Simplify right side
    1,541.04x = 1,791,520.06
  5. Step 5: Solve for x
    x = 1,791,520.06/1,541.04
  6. Step 6: Final answer
    x = 1,162.54

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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.