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Finding the Fourth Proportional to 2,690.42, 4,033.40 and 840.38

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Solution

The fourth proportional to 2,690.42, 4,033.40 and 840.38 is: 1,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.42 : 4,033.40 = 840.38 : x
  2. Step 2: Convert to fraction form
    2,690.42/4,033.40 = 840.38/x
  3. Step 3: Cross multiply
    2,690.42x = 4,033.40 × 840.38
  4. Step 4: Simplify right side
    2,690.42x = 3,389,564.32
  5. Step 5: Solve for x
    x = 3,389,564.32/2,690.42
  6. Step 6: Final answer
    x = 1,259.87

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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.