Home / 2,582.89-3,565.11-1,587.80

Finding the Fourth Proportional to 2,582.89, 3,565.11 and 1,587.80

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Solution

The fourth proportional to 2,582.89, 3,565.11 and 1,587.80 is: 2,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.89 : 3,565.11 = 1,587.80 : x
  2. Step 2: Convert to fraction form
    2,582.89/3,565.11 = 1,587.80/x
  3. Step 3: Cross multiply
    2,582.89x = 3,565.11 × 1,587.80
  4. Step 4: Simplify right side
    2,582.89x = 5,660,696.53
  5. Step 5: Solve for x
    x = 5,660,696.53/2,582.89
  6. Step 6: Final answer
    x = 2,191.62

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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.