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Finding the Fourth Proportional to 5,287.14, 7,922.07 and 2,686.50

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Solution

The fourth proportional to 5,287.14, 7,922.07 and 2,686.50 is: 4,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.14 : 7,922.07 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    5,287.14/7,922.07 = 2,686.50/x
  3. Step 3: Cross multiply
    5,287.14x = 7,922.07 × 2,686.50
  4. Step 4: Simplify right side
    5,287.14x = 21,282,641.06
  5. Step 5: Solve for x
    x = 21,282,641.06/5,287.14
  6. Step 6: Final answer
    x = 4,025.36

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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.