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Finding the Fourth Proportional to 3,466.82, 5,200.20 and 869.76

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Solution

The fourth proportional to 3,466.82, 5,200.20 and 869.76 is: 1,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.82 : 5,200.20 = 869.76 : x
  2. Step 2: Convert to fraction form
    3,466.82/5,200.20 = 869.76/x
  3. Step 3: Cross multiply
    3,466.82x = 5,200.20 × 869.76
  4. Step 4: Simplify right side
    3,466.82x = 4,522,925.95
  5. Step 5: Solve for x
    x = 4,522,925.95/3,466.82
  6. Step 6: Final answer
    x = 1,304.63

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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.