Home / 2,582.35-3,566-1,878.25

Finding the Fourth Proportional to 2,582.35, 3,566 and 1,878.25

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Solution

The fourth proportional to 2,582.35, 3,566 and 1,878.25 is: 2,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.35 : 3,566 = 1,878.25 : x
  2. Step 2: Convert to fraction form
    2,582.35/3,566 = 1,878.25/x
  3. Step 3: Cross multiply
    2,582.35x = 3,566 × 1,878.25
  4. Step 4: Simplify right side
    2,582.35x = 6,697,839.50
  5. Step 5: Solve for x
    x = 6,697,839.50/2,582.35
  6. Step 6: Final answer
    x = 2,593.70

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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.