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Finding the Fourth Proportional to 3,970.72, 5,959.68 and 3,316.65

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Solution

The fourth proportional to 3,970.72, 5,959.68 and 3,316.65 is: 4,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.72 : 5,959.68 = 3,316.65 : x
  2. Step 2: Convert to fraction form
    3,970.72/5,959.68 = 3,316.65/x
  3. Step 3: Cross multiply
    3,970.72x = 5,959.68 × 3,316.65
  4. Step 4: Simplify right side
    3,970.72x = 19,766,137.89
  5. Step 5: Solve for x
    x = 19,766,137.89/3,970.72
  6. Step 6: Final answer
    x = 4,977.97

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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.