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Finding the Fourth Proportional to 1,540.65, 2,125.98 and 842.03

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Solution

The fourth proportional to 1,540.65, 2,125.98 and 842.03 is: 1,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.65 : 2,125.98 = 842.03 : x
  2. Step 2: Convert to fraction form
    1,540.65/2,125.98 = 842.03/x
  3. Step 3: Cross multiply
    1,540.65x = 2,125.98 × 842.03
  4. Step 4: Simplify right side
    1,540.65x = 1,790,128.31
  5. Step 5: Solve for x
    x = 1,790,128.31/1,540.65
  6. Step 6: Final answer
    x = 1,161.93

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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.