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Finding the Fourth Proportional to 1,815.41, 2,720.99 and 840.38

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Solution

The fourth proportional to 1,815.41, 2,720.99 and 840.38 is: 1,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.41 : 2,720.99 = 840.38 : x
  2. Step 2: Convert to fraction form
    1,815.41/2,720.99 = 840.38/x
  3. Step 3: Cross multiply
    1,815.41x = 2,720.99 × 840.38
  4. Step 4: Simplify right side
    1,815.41x = 2,286,654.07
  5. Step 5: Solve for x
    x = 2,286,654.07/1,815.41
  6. Step 6: Final answer
    x = 1,259.58

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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.