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Finding the Fourth Proportional to 5,978.33, 8,252.36 and 5,135.65

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Solution

The fourth proportional to 5,978.33, 8,252.36 and 5,135.65 is: 7,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.33 : 8,252.36 = 5,135.65 : x
  2. Step 2: Convert to fraction form
    5,978.33/8,252.36 = 5,135.65/x
  3. Step 3: Cross multiply
    5,978.33x = 8,252.36 × 5,135.65
  4. Step 4: Simplify right side
    5,978.33x = 42,381,237.56
  5. Step 5: Solve for x
    x = 42,381,237.56/5,978.33
  6. Step 6: Final answer
    x = 7,089.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.