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Finding the Fourth Proportional to 2,560.68, 3,532.68 and 2,089.80

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Solution

The fourth proportional to 2,560.68, 3,532.68 and 2,089.80 is: 2,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.68 : 3,532.68 = 2,089.80 : x
  2. Step 2: Convert to fraction form
    2,560.68/3,532.68 = 2,089.80/x
  3. Step 3: Cross multiply
    2,560.68x = 3,532.68 × 2,089.80
  4. Step 4: Simplify right side
    2,560.68x = 7,382,594.66
  5. Step 5: Solve for x
    x = 7,382,594.66/2,560.68
  6. Step 6: Final answer
    x = 2,883.06

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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.