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Finding the Fourth Proportional to 5,151, 7,727.79 and 2,379.61

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Solution

The fourth proportional to 5,151, 7,727.79 and 2,379.61 is: 3,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151 : 7,727.79 = 2,379.61 : x
  2. Step 2: Convert to fraction form
    5,151/7,727.79 = 2,379.61/x
  3. Step 3: Cross multiply
    5,151x = 7,727.79 × 2,379.61
  4. Step 4: Simplify right side
    5,151x = 18,389,126.36
  5. Step 5: Solve for x
    x = 18,389,126.36/5,151
  6. Step 6: Final answer
    x = 3,570.01

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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.