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Finding the Fourth Proportional to 4,939.86, 7,411.79 and 2,165.07

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Solution

The fourth proportional to 4,939.86, 7,411.79 and 2,165.07 is: 3,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.86 : 7,411.79 = 2,165.07 : x
  2. Step 2: Convert to fraction form
    4,939.86/7,411.79 = 2,165.07/x
  3. Step 3: Cross multiply
    4,939.86x = 7,411.79 × 2,165.07
  4. Step 4: Simplify right side
    4,939.86x = 16,047,044.18
  5. Step 5: Solve for x
    x = 16,047,044.18/4,939.86
  6. Step 6: Final answer
    x = 3,248.48

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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.