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Finding the Fourth Proportional to 1,670.76, 2,306.75 and 1,042.20

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Solution

The fourth proportional to 1,670.76, 2,306.75 and 1,042.20 is: 1,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.76 : 2,306.75 = 1,042.20 : x
  2. Step 2: Convert to fraction form
    1,670.76/2,306.75 = 1,042.20/x
  3. Step 3: Cross multiply
    1,670.76x = 2,306.75 × 1,042.20
  4. Step 4: Simplify right side
    1,670.76x = 2,404,089.64
  5. Step 5: Solve for x
    x = 2,404,089.64/1,670.76
  6. Step 6: Final answer
    x = 1,438.92

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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.