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Finding the Fourth Proportional to 3,970.56, 5,478.24 and 2,574.24

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Solution

The fourth proportional to 3,970.56, 5,478.24 and 2,574.24 is: 3,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.56 : 5,478.24 = 2,574.24 : x
  2. Step 2: Convert to fraction form
    3,970.56/5,478.24 = 2,574.24/x
  3. Step 3: Cross multiply
    3,970.56x = 5,478.24 × 2,574.24
  4. Step 4: Simplify right side
    3,970.56x = 14,102,304.54
  5. Step 5: Solve for x
    x = 14,102,304.54/3,970.56
  6. Step 6: Final answer
    x = 3,551.72

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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.