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Finding the Fourth Proportional to 9,930, 13,706.34 and 5,953.56

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Solution

The fourth proportional to 9,930, 13,706.34 and 5,953.56 is: 8,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930 : 13,706.34 = 5,953.56 : x
  2. Step 2: Convert to fraction form
    9,930/13,706.34 = 5,953.56/x
  3. Step 3: Cross multiply
    9,930x = 13,706.34 × 5,953.56
  4. Step 4: Simplify right side
    9,930x = 81,601,517.57
  5. Step 5: Solve for x
    x = 81,601,517.57/9,930
  6. Step 6: Final answer
    x = 8,217.68

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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.