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Finding the Fourth Proportional to 6,389, 8,817.66 and 3,594.50

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Solution

The fourth proportional to 6,389, 8,817.66 and 3,594.50 is: 4,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389 : 8,817.66 = 3,594.50 : x
  2. Step 2: Convert to fraction form
    6,389/8,817.66 = 3,594.50/x
  3. Step 3: Cross multiply
    6,389x = 8,817.66 × 3,594.50
  4. Step 4: Simplify right side
    6,389x = 31,695,078.87
  5. Step 5: Solve for x
    x = 31,695,078.87/6,389
  6. Step 6: Final answer
    x = 4,960.88

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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.