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Finding the Fourth Proportional to 1,815.12, 2,722.24 and 840.30

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Solution

The fourth proportional to 1,815.12, 2,722.24 and 840.30 is: 1,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.12 : 2,722.24 = 840.30 : x
  2. Step 2: Convert to fraction form
    1,815.12/2,722.24 = 840.30/x
  3. Step 3: Cross multiply
    1,815.12x = 2,722.24 × 840.30
  4. Step 4: Simplify right side
    1,815.12x = 2,287,498.27
  5. Step 5: Solve for x
    x = 2,287,498.27/1,815.12
  6. Step 6: Final answer
    x = 1,260.25

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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.