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Finding the Fourth Proportional to 2,568.45, 3,543.91 and 1,448.92

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Solution

The fourth proportional to 2,568.45, 3,543.91 and 1,448.92 is: 1,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.45 : 3,543.91 = 1,448.92 : x
  2. Step 2: Convert to fraction form
    2,568.45/3,543.91 = 1,448.92/x
  3. Step 3: Cross multiply
    2,568.45x = 3,543.91 × 1,448.92
  4. Step 4: Simplify right side
    2,568.45x = 5,134,842.08
  5. Step 5: Solve for x
    x = 5,134,842.08/2,568.45
  6. Step 6: Final answer
    x = 1,999.20

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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.