Home / 1,469.30-2,027.60-840.20

Finding the Fourth Proportional to 1,469.30, 2,027.60 and 840.20

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Solution

The fourth proportional to 1,469.30, 2,027.60 and 840.20 is: 1,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.30 : 2,027.60 = 840.20 : x
  2. Step 2: Convert to fraction form
    1,469.30/2,027.60 = 840.20/x
  3. Step 3: Cross multiply
    1,469.30x = 2,027.60 × 840.20
  4. Step 4: Simplify right side
    1,469.30x = 1,703,589.52
  5. Step 5: Solve for x
    x = 1,703,589.52/1,469.30
  6. Step 6: Final answer
    x = 1,159.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.