Home / 2,323.19-3,482.35-762.80

Finding the Fourth Proportional to 2,323.19, 3,482.35 and 762.80

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Solution

The fourth proportional to 2,323.19, 3,482.35 and 762.80 is: 1,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.19 : 3,482.35 = 762.80 : x
  2. Step 2: Convert to fraction form
    2,323.19/3,482.35 = 762.80/x
  3. Step 3: Cross multiply
    2,323.19x = 3,482.35 × 762.80
  4. Step 4: Simplify right side
    2,323.19x = 2,656,315.35
  5. Step 5: Solve for x
    x = 2,656,315.35/2,323.19
  6. Step 6: Final answer
    x = 1,143.39

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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.