Home / 2,317.20-3,478.89-1,344

Finding the Fourth Proportional to 2,317.20, 3,478.89 and 1,344

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Solution

The fourth proportional to 2,317.20, 3,478.89 and 1,344 is: 2,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.20 : 3,478.89 = 1,344 : x
  2. Step 2: Convert to fraction form
    2,317.20/3,478.89 = 1,344/x
  3. Step 3: Cross multiply
    2,317.20x = 3,478.89 × 1,344
  4. Step 4: Simplify right side
    2,317.20x = 4,675,628.16
  5. Step 5: Solve for x
    x = 4,675,628.16/2,317.20
  6. Step 6: Final answer
    x = 2,017.79

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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.