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Finding the Fourth Proportional to 3,319.31, 4,978.98 and 1,010.81

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Solution

The fourth proportional to 3,319.31, 4,978.98 and 1,010.81 is: 1,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.31 : 4,978.98 = 1,010.81 : x
  2. Step 2: Convert to fraction form
    3,319.31/4,978.98 = 1,010.81/x
  3. Step 3: Cross multiply
    3,319.31x = 4,978.98 × 1,010.81
  4. Step 4: Simplify right side
    3,319.31x = 5,032,815.22
  5. Step 5: Solve for x
    x = 5,032,815.22/3,319.31
  6. Step 6: Final answer
    x = 1,516.22

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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.