Home / 1,765.24-2,644.80-1,416.76

Finding the Fourth Proportional to 1,765.24, 2,644.80 and 1,416.76

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Solution

The fourth proportional to 1,765.24, 2,644.80 and 1,416.76 is: 2,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.24 : 2,644.80 = 1,416.76 : x
  2. Step 2: Convert to fraction form
    1,765.24/2,644.80 = 1,416.76/x
  3. Step 3: Cross multiply
    1,765.24x = 2,644.80 × 1,416.76
  4. Step 4: Simplify right side
    1,765.24x = 3,747,046.85
  5. Step 5: Solve for x
    x = 3,747,046.85/1,765.24
  6. Step 6: Final answer
    x = 2,122.68

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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.