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Finding the Fourth Proportional to 1,826.90, 2,740.07 and 672.38

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Solution

The fourth proportional to 1,826.90, 2,740.07 and 672.38 is: 1,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.90 : 2,740.07 = 672.38 : x
  2. Step 2: Convert to fraction form
    1,826.90/2,740.07 = 672.38/x
  3. Step 3: Cross multiply
    1,826.90x = 2,740.07 × 672.38
  4. Step 4: Simplify right side
    1,826.90x = 1,842,356.25
  5. Step 5: Solve for x
    x = 1,842,356.25/1,826.90
  6. Step 6: Final answer
    x = 1,008.46

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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.