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Finding the Fourth Proportional to 1,469.40, 2,027.63 and 840.09

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Solution

The fourth proportional to 1,469.40, 2,027.63 and 840.09 is: 1,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.40 : 2,027.63 = 840.09 : x
  2. Step 2: Convert to fraction form
    1,469.40/2,027.63 = 840.09/x
  3. Step 3: Cross multiply
    1,469.40x = 2,027.63 × 840.09
  4. Step 4: Simplify right side
    1,469.40x = 1,703,387.49
  5. Step 5: Solve for x
    x = 1,703,387.49/1,469.40
  6. Step 6: Final answer
    x = 1,159.24

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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.