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Finding the Fourth Proportional to 2,887.83, 4,329.24 and 1,789.77

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Solution

The fourth proportional to 2,887.83, 4,329.24 and 1,789.77 is: 2,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.83 : 4,329.24 = 1,789.77 : x
  2. Step 2: Convert to fraction form
    2,887.83/4,329.24 = 1,789.77/x
  3. Step 3: Cross multiply
    2,887.83x = 4,329.24 × 1,789.77
  4. Step 4: Simplify right side
    2,887.83x = 7,748,358.43
  5. Step 5: Solve for x
    x = 7,748,358.43/2,887.83
  6. Step 6: Final answer
    x = 2,683.11

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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.