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Finding the Fourth Proportional to 3,887.11, 5,829.93 and 1,289.71

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Solution

The fourth proportional to 3,887.11, 5,829.93 and 1,289.71 is: 1,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.11 : 5,829.93 = 1,289.71 : x
  2. Step 2: Convert to fraction form
    3,887.11/5,829.93 = 1,289.71/x
  3. Step 3: Cross multiply
    3,887.11x = 5,829.93 × 1,289.71
  4. Step 4: Simplify right side
    3,887.11x = 7,518,919.02
  5. Step 5: Solve for x
    x = 7,518,919.02/3,887.11
  6. Step 6: Final answer
    x = 1,934.32

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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.