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Finding the Fourth Proportional to 3,744.40, 5,612.10 and 2,574.40

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Solution

The fourth proportional to 3,744.40, 5,612.10 and 2,574.40 is: 3,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.40 : 5,612.10 = 2,574.40 : x
  2. Step 2: Convert to fraction form
    3,744.40/5,612.10 = 2,574.40/x
  3. Step 3: Cross multiply
    3,744.40x = 5,612.10 × 2,574.40
  4. Step 4: Simplify right side
    3,744.40x = 14,447,790.24
  5. Step 5: Solve for x
    x = 14,447,790.24/3,744.40
  6. Step 6: Final answer
    x = 3,858.51

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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.