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Finding the Fourth Proportional to 3,964.05, 5,470.20 and 2,285.55

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Solution

The fourth proportional to 3,964.05, 5,470.20 and 2,285.55 is: 3,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.05 : 5,470.20 = 2,285.55 : x
  2. Step 2: Convert to fraction form
    3,964.05/5,470.20 = 2,285.55/x
  3. Step 3: Cross multiply
    3,964.05x = 5,470.20 × 2,285.55
  4. Step 4: Simplify right side
    3,964.05x = 12,502,415.61
  5. Step 5: Solve for x
    x = 12,502,415.61/3,964.05
  6. Step 6: Final answer
    x = 3,153.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.