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Finding the Fourth Proportional to 3,307.52, 4,960.84 and 842.12

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Solution

The fourth proportional to 3,307.52, 4,960.84 and 842.12 is: 1,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.52 : 4,960.84 = 842.12 : x
  2. Step 2: Convert to fraction form
    3,307.52/4,960.84 = 842.12/x
  3. Step 3: Cross multiply
    3,307.52x = 4,960.84 × 842.12
  4. Step 4: Simplify right side
    3,307.52x = 4,177,622.58
  5. Step 5: Solve for x
    x = 4,177,622.58/3,307.52
  6. Step 6: Final answer
    x = 1,263.07

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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.