Home / 1,649.52-2,475.90-919.62

Finding the Fourth Proportional to 1,649.52, 2,475.90 and 919.62

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Solution

The fourth proportional to 1,649.52, 2,475.90 and 919.62 is: 1,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.52 : 2,475.90 = 919.62 : x
  2. Step 2: Convert to fraction form
    1,649.52/2,475.90 = 919.62/x
  3. Step 3: Cross multiply
    1,649.52x = 2,475.90 × 919.62
  4. Step 4: Simplify right side
    1,649.52x = 2,276,887.16
  5. Step 5: Solve for x
    x = 2,276,887.16/1,649.52
  6. Step 6: Final answer
    x = 1,380.33

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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.