Home / 1,649.16-2,468.88-917.73

Finding the Fourth Proportional to 1,649.16, 2,468.88 and 917.73

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Solution

The fourth proportional to 1,649.16, 2,468.88 and 917.73 is: 1,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.16 : 2,468.88 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,649.16/2,468.88 = 917.73/x
  3. Step 3: Cross multiply
    1,649.16x = 2,468.88 × 917.73
  4. Step 4: Simplify right side
    1,649.16x = 2,265,765.24
  5. Step 5: Solve for x
    x = 2,265,765.24/1,649.16
  6. Step 6: Final answer
    x = 1,373.89

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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.