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Finding the Fourth Proportional to 3,307.31, 4,961.08 and 842.18

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Solution

The fourth proportional to 3,307.31, 4,961.08 and 842.18 is: 1,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.31 : 4,961.08 = 842.18 : x
  2. Step 2: Convert to fraction form
    3,307.31/4,961.08 = 842.18/x
  3. Step 3: Cross multiply
    3,307.31x = 4,961.08 × 842.18
  4. Step 4: Simplify right side
    3,307.31x = 4,178,122.35
  5. Step 5: Solve for x
    x = 4,178,122.35/3,307.31
  6. Step 6: Final answer
    x = 1,263.30

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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.