Home / 1,524.68-2,287.46-1,380.16

Finding the Fourth Proportional to 1,524.68, 2,287.46 and 1,380.16

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Solution

The fourth proportional to 1,524.68, 2,287.46 and 1,380.16 is: 2,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.68 : 2,287.46 = 1,380.16 : x
  2. Step 2: Convert to fraction form
    1,524.68/2,287.46 = 1,380.16/x
  3. Step 3: Cross multiply
    1,524.68x = 2,287.46 × 1,380.16
  4. Step 4: Simplify right side
    1,524.68x = 3,157,060.79
  5. Step 5: Solve for x
    x = 3,157,060.79/1,524.68
  6. Step 6: Final answer
    x = 2,070.64

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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.