Home / 2,317.82-3,478.28-1,538.70

Finding the Fourth Proportional to 2,317.82, 3,478.28 and 1,538.70

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Solution

The fourth proportional to 2,317.82, 3,478.28 and 1,538.70 is: 2,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.82 : 3,478.28 = 1,538.70 : x
  2. Step 2: Convert to fraction form
    2,317.82/3,478.28 = 1,538.70/x
  3. Step 3: Cross multiply
    2,317.82x = 3,478.28 × 1,538.70
  4. Step 4: Simplify right side
    2,317.82x = 5,352,029.44
  5. Step 5: Solve for x
    x = 5,352,029.44/2,317.82
  6. Step 6: Final answer
    x = 2,309.08

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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.