Home / 1,442.88-2,160.85-824.71

Finding the Fourth Proportional to 1,442.88, 2,160.85 and 824.71

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Solution

The fourth proportional to 1,442.88, 2,160.85 and 824.71 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.88 : 2,160.85 = 824.71 : x
  2. Step 2: Convert to fraction form
    1,442.88/2,160.85 = 824.71/x
  3. Step 3: Cross multiply
    1,442.88x = 2,160.85 × 824.71
  4. Step 4: Simplify right side
    1,442.88x = 1,782,074.60
  5. Step 5: Solve for x
    x = 1,782,074.60/1,442.88
  6. Step 6: Final answer
    x = 1,235.08

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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.