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Finding the Fourth Proportional to 3,442.95, 5,164.38 and 845.87

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Solution

The fourth proportional to 3,442.95, 5,164.38 and 845.87 is: 1,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.95 : 5,164.38 = 845.87 : x
  2. Step 2: Convert to fraction form
    3,442.95/5,164.38 = 845.87/x
  3. Step 3: Cross multiply
    3,442.95x = 5,164.38 × 845.87
  4. Step 4: Simplify right side
    3,442.95x = 4,368,368.29
  5. Step 5: Solve for x
    x = 4,368,368.29/3,442.95
  6. Step 6: Final answer
    x = 1,268.79

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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.