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Finding the Fourth Proportional to 2,974.51, 4,462.31 and 1,331.02

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Solution

The fourth proportional to 2,974.51, 4,462.31 and 1,331.02 is: 1,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.51 : 4,462.31 = 1,331.02 : x
  2. Step 2: Convert to fraction form
    2,974.51/4,462.31 = 1,331.02/x
  3. Step 3: Cross multiply
    2,974.51x = 4,462.31 × 1,331.02
  4. Step 4: Simplify right side
    2,974.51x = 5,939,423.86
  5. Step 5: Solve for x
    x = 5,939,423.86/2,974.51
  6. Step 6: Final answer
    x = 1,996.77

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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.