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Finding the Fourth Proportional to 9,913.89, 13,679.10 and 6,729.65

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Solution

The fourth proportional to 9,913.89, 13,679.10 and 6,729.65 is: 9,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.89 : 13,679.10 = 6,729.65 : x
  2. Step 2: Convert to fraction form
    9,913.89/13,679.10 = 6,729.65/x
  3. Step 3: Cross multiply
    9,913.89x = 13,679.10 × 6,729.65
  4. Step 4: Simplify right side
    9,913.89x = 92,055,486.92
  5. Step 5: Solve for x
    x = 92,055,486.92/9,913.89
  6. Step 6: Final answer
    x = 9,285.51

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1.5x scale

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.