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Finding the Fourth Proportional to 3,449.70, 5,178.60 and 1,970.10

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Solution

The fourth proportional to 3,449.70, 5,178.60 and 1,970.10 is: 2,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.70 : 5,178.60 = 1,970.10 : x
  2. Step 2: Convert to fraction form
    3,449.70/5,178.60 = 1,970.10/x
  3. Step 3: Cross multiply
    3,449.70x = 5,178.60 × 1,970.10
  4. Step 4: Simplify right side
    3,449.70x = 10,202,359.86
  5. Step 5: Solve for x
    x = 10,202,359.86/3,449.70
  6. Step 6: Final answer
    x = 2,957.46

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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.