Home / 2,138.65-3,204.51-1,315.24

Finding the Fourth Proportional to 2,138.65, 3,204.51 and 1,315.24

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Solution

The fourth proportional to 2,138.65, 3,204.51 and 1,315.24 is: 1,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.65 : 3,204.51 = 1,315.24 : x
  2. Step 2: Convert to fraction form
    2,138.65/3,204.51 = 1,315.24/x
  3. Step 3: Cross multiply
    2,138.65x = 3,204.51 × 1,315.24
  4. Step 4: Simplify right side
    2,138.65x = 4,214,699.73
  5. Step 5: Solve for x
    x = 4,214,699.73/2,138.65
  6. Step 6: Final answer
    x = 1,970.73

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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.