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Finding the Fourth Proportional to 1,815.36, 2,722.63 and 840.53

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Solution

The fourth proportional to 1,815.36, 2,722.63 and 840.53 is: 1,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.36 : 2,722.63 = 840.53 : x
  2. Step 2: Convert to fraction form
    1,815.36/2,722.63 = 840.53/x
  3. Step 3: Cross multiply
    1,815.36x = 2,722.63 × 840.53
  4. Step 4: Simplify right side
    1,815.36x = 2,288,452.19
  5. Step 5: Solve for x
    x = 2,288,452.19/1,815.36
  6. Step 6: Final answer
    x = 1,260.61

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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.