Home / 2,582.48-3,872.10-1,715.78

Finding the Fourth Proportional to 2,582.48, 3,872.10 and 1,715.78

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Solution

The fourth proportional to 2,582.48, 3,872.10 and 1,715.78 is: 2,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.48 : 3,872.10 = 1,715.78 : x
  2. Step 2: Convert to fraction form
    2,582.48/3,872.10 = 1,715.78/x
  3. Step 3: Cross multiply
    2,582.48x = 3,872.10 × 1,715.78
  4. Step 4: Simplify right side
    2,582.48x = 6,643,671.74
  5. Step 5: Solve for x
    x = 6,643,671.74/2,582.48
  6. Step 6: Final answer
    x = 2,572.59

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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.