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Finding the Fourth Proportional to 1,662.29, 2,491.26 and 840.12

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Solution

The fourth proportional to 1,662.29, 2,491.26 and 840.12 is: 1,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.29 : 2,491.26 = 840.12 : x
  2. Step 2: Convert to fraction form
    1,662.29/2,491.26 = 840.12/x
  3. Step 3: Cross multiply
    1,662.29x = 2,491.26 × 840.12
  4. Step 4: Simplify right side
    1,662.29x = 2,092,957.35
  5. Step 5: Solve for x
    x = 2,092,957.35/1,662.29
  6. Step 6: Final answer
    x = 1,259.08

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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.