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Finding the Fourth Proportional to 3,888.14, 5,833.02 and 1,291.02

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Solution

The fourth proportional to 3,888.14, 5,833.02 and 1,291.02 is: 1,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.14 : 5,833.02 = 1,291.02 : x
  2. Step 2: Convert to fraction form
    3,888.14/5,833.02 = 1,291.02/x
  3. Step 3: Cross multiply
    3,888.14x = 5,833.02 × 1,291.02
  4. Step 4: Simplify right side
    3,888.14x = 7,530,545.48
  5. Step 5: Solve for x
    x = 7,530,545.48/3,888.14
  6. Step 6: Final answer
    x = 1,936.80

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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.