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Finding the Fourth Proportional to 5,980.78, 8,975.31 and 3,486.10

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Solution

The fourth proportional to 5,980.78, 8,975.31 and 3,486.10 is: 5,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.78 : 8,975.31 = 3,486.10 : x
  2. Step 2: Convert to fraction form
    5,980.78/8,975.31 = 3,486.10/x
  3. Step 3: Cross multiply
    5,980.78x = 8,975.31 × 3,486.10
  4. Step 4: Simplify right side
    5,980.78x = 31,288,828.19
  5. Step 5: Solve for x
    x = 31,288,828.19/5,980.78
  6. Step 6: Final answer
    x = 5,231.56

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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.