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Finding the Fourth Proportional to 2,728.59, 4,090.15 and 878.35

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Solution

The fourth proportional to 2,728.59, 4,090.15 and 878.35 is: 1,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.59 : 4,090.15 = 878.35 : x
  2. Step 2: Convert to fraction form
    2,728.59/4,090.15 = 878.35/x
  3. Step 3: Cross multiply
    2,728.59x = 4,090.15 × 878.35
  4. Step 4: Simplify right side
    2,728.59x = 3,592,558.41
  5. Step 5: Solve for x
    x = 3,592,558.41/2,728.59
  6. Step 6: Final answer
    x = 1,316.64

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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.