Home / 2,582.24-3,870.48-1,119.20

Finding the Fourth Proportional to 2,582.24, 3,870.48 and 1,119.20

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Solution

The fourth proportional to 2,582.24, 3,870.48 and 1,119.20 is: 1,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.24 : 3,870.48 = 1,119.20 : x
  2. Step 2: Convert to fraction form
    2,582.24/3,870.48 = 1,119.20/x
  3. Step 3: Cross multiply
    2,582.24x = 3,870.48 × 1,119.20
  4. Step 4: Simplify right side
    2,582.24x = 4,331,841.22
  5. Step 5: Solve for x
    x = 4,331,841.22/2,582.24
  6. Step 6: Final answer
    x = 1,677.55

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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.