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Finding the Fourth Proportional to 3,291.86, 4,939.45 and 1,442.99

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Solution

The fourth proportional to 3,291.86, 4,939.45 and 1,442.99 is: 2,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.86 : 4,939.45 = 1,442.99 : x
  2. Step 2: Convert to fraction form
    3,291.86/4,939.45 = 1,442.99/x
  3. Step 3: Cross multiply
    3,291.86x = 4,939.45 × 1,442.99
  4. Step 4: Simplify right side
    3,291.86x = 7,127,548.65
  5. Step 5: Solve for x
    x = 7,127,548.65/3,291.86
  6. Step 6: Final answer
    x = 2,165.21

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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.