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Finding the Fourth Proportional to 1,541.05, 2,126.62 and 842.42

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Solution

The fourth proportional to 1,541.05, 2,126.62 and 842.42 is: 1,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.05 : 2,126.62 = 842.42 : x
  2. Step 2: Convert to fraction form
    1,541.05/2,126.62 = 842.42/x
  3. Step 3: Cross multiply
    1,541.05x = 2,126.62 × 842.42
  4. Step 4: Simplify right side
    1,541.05x = 1,791,513.59
  5. Step 5: Solve for x
    x = 1,791,513.59/1,541.05
  6. Step 6: Final answer
    x = 1,162.53

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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.