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Finding the Fourth Proportional to 6,340.92, 9,503.10 and 4,389

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Solution

The fourth proportional to 6,340.92, 9,503.10 and 4,389 is: 6,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.92 : 9,503.10 = 4,389 : x
  2. Step 2: Convert to fraction form
    6,340.92/9,503.10 = 4,389/x
  3. Step 3: Cross multiply
    6,340.92x = 9,503.10 × 4,389
  4. Step 4: Simplify right side
    6,340.92x = 41,709,105.90
  5. Step 5: Solve for x
    x = 41,709,105.90/6,340.92
  6. Step 6: Final answer
    x = 6,577.77

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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.