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Finding the Fourth Proportional to 2,757.61, 4,143.62 and 2,582.65

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Solution

The fourth proportional to 2,757.61, 4,143.62 and 2,582.65 is: 3,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.61 : 4,143.62 = 2,582.65 : x
  2. Step 2: Convert to fraction form
    2,757.61/4,143.62 = 2,582.65/x
  3. Step 3: Cross multiply
    2,757.61x = 4,143.62 × 2,582.65
  4. Step 4: Simplify right side
    2,757.61x = 10,701,507.28
  5. Step 5: Solve for x
    x = 10,701,507.28/2,757.61
  6. Step 6: Final answer
    x = 3,880.72

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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.