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Finding the Fourth Proportional to 2,304.72, 3,455.12 and 842.88

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Solution

The fourth proportional to 2,304.72, 3,455.12 and 842.88 is: 1,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.72 : 3,455.12 = 842.88 : x
  2. Step 2: Convert to fraction form
    2,304.72/3,455.12 = 842.88/x
  3. Step 3: Cross multiply
    2,304.72x = 3,455.12 × 842.88
  4. Step 4: Simplify right side
    2,304.72x = 2,912,251.55
  5. Step 5: Solve for x
    x = 2,912,251.55/2,304.72
  6. Step 6: Final answer
    x = 1,263.60

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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.