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Finding the Fourth Proportional to 1,744.62, 2,597.10 and 1,664.98

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Solution

The fourth proportional to 1,744.62, 2,597.10 and 1,664.98 is: 2,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.62 : 2,597.10 = 1,664.98 : x
  2. Step 2: Convert to fraction form
    1,744.62/2,597.10 = 1,664.98/x
  3. Step 3: Cross multiply
    1,744.62x = 2,597.10 × 1,664.98
  4. Step 4: Simplify right side
    1,744.62x = 4,324,119.56
  5. Step 5: Solve for x
    x = 4,324,119.56/1,744.62
  6. Step 6: Final answer
    x = 2,478.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.