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Finding the Fourth Proportional to 2,304.03, 3,456.04 and 842.84

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Solution

The fourth proportional to 2,304.03, 3,456.04 and 842.84 is: 1,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.03 : 3,456.04 = 842.84 : x
  2. Step 2: Convert to fraction form
    2,304.03/3,456.04 = 842.84/x
  3. Step 3: Cross multiply
    2,304.03x = 3,456.04 × 842.84
  4. Step 4: Simplify right side
    2,304.03x = 2,912,888.75
  5. Step 5: Solve for x
    x = 2,912,888.75/2,304.03
  6. Step 6: Final answer
    x = 1,264.26

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1.5x scale

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.