Home / 2,580.15-3,870.51-824.75

Finding the Fourth Proportional to 2,580.15, 3,870.51 and 824.75

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Solution

The fourth proportional to 2,580.15, 3,870.51 and 824.75 is: 1,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.15 : 3,870.51 = 824.75 : x
  2. Step 2: Convert to fraction form
    2,580.15/3,870.51 = 824.75/x
  3. Step 3: Cross multiply
    2,580.15x = 3,870.51 × 824.75
  4. Step 4: Simplify right side
    2,580.15x = 3,192,179.65
  5. Step 5: Solve for x
    x = 3,192,179.65/2,580.15
  6. Step 6: Final answer
    x = 1,237.21

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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.