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Finding the Fourth Proportional to 5,889.16, 8,838.78 and 3,420.55

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Solution

The fourth proportional to 5,889.16, 8,838.78 and 3,420.55 is: 5,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.16 : 8,838.78 = 3,420.55 : x
  2. Step 2: Convert to fraction form
    5,889.16/8,838.78 = 3,420.55/x
  3. Step 3: Cross multiply
    5,889.16x = 8,838.78 × 3,420.55
  4. Step 4: Simplify right side
    5,889.16x = 30,233,488.93
  5. Step 5: Solve for x
    x = 30,233,488.93/5,889.16
  6. Step 6: Final answer
    x = 5,133.75

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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.