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Finding the Fourth Proportional to 5,678.83, 7,838.81 and 3,289.87

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Solution

The fourth proportional to 5,678.83, 7,838.81 and 3,289.87 is: 4,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.83 : 7,838.81 = 3,289.87 : x
  2. Step 2: Convert to fraction form
    5,678.83/7,838.81 = 3,289.87/x
  3. Step 3: Cross multiply
    5,678.83x = 7,838.81 × 3,289.87
  4. Step 4: Simplify right side
    5,678.83x = 25,788,665.85
  5. Step 5: Solve for x
    x = 25,788,665.85/5,678.83
  6. Step 6: Final answer
    x = 4,541.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.