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Finding the Fourth Proportional to 3,184.62, 4,777.28 and 876.12

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Solution

The fourth proportional to 3,184.62, 4,777.28 and 876.12 is: 1,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.62 : 4,777.28 = 876.12 : x
  2. Step 2: Convert to fraction form
    3,184.62/4,777.28 = 876.12/x
  3. Step 3: Cross multiply
    3,184.62x = 4,777.28 × 876.12
  4. Step 4: Simplify right side
    3,184.62x = 4,185,470.55
  5. Step 5: Solve for x
    x = 4,185,470.55/3,184.62
  6. Step 6: Final answer
    x = 1,314.28

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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.