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Finding the Fourth Proportional to 9,300.78, 13,920.84 and 6,834.96

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Solution

The fourth proportional to 9,300.78, 13,920.84 and 6,834.96 is: 10,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.78 : 13,920.84 = 6,834.96 : x
  2. Step 2: Convert to fraction form
    9,300.78/13,920.84 = 6,834.96/x
  3. Step 3: Cross multiply
    9,300.78x = 13,920.84 × 6,834.96
  4. Step 4: Simplify right side
    9,300.78x = 95,148,384.57
  5. Step 5: Solve for x
    x = 95,148,384.57/9,300.78
  6. Step 6: Final answer
    x = 10,230.15

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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.