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Finding the Fourth Proportional to 5,287.93, 7,926.16 and 3,440.36

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Solution

The fourth proportional to 5,287.93, 7,926.16 and 3,440.36 is: 5,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.93 : 7,926.16 = 3,440.36 : x
  2. Step 2: Convert to fraction form
    5,287.93/7,926.16 = 3,440.36/x
  3. Step 3: Cross multiply
    5,287.93x = 7,926.16 × 3,440.36
  4. Step 4: Simplify right side
    5,287.93x = 27,268,843.82
  5. Step 5: Solve for x
    x = 27,268,843.82/5,287.93
  6. Step 6: Final answer
    x = 5,156.81

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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.