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Finding the Fourth Proportional to 10,658.92, 15,999.90 and 7,738.60

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Solution

The fourth proportional to 10,658.92, 15,999.90 and 7,738.60 is: 11,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.92 : 15,999.90 = 7,738.60 : x
  2. Step 2: Convert to fraction form
    10,658.92/15,999.90 = 7,738.60/x
  3. Step 3: Cross multiply
    10,658.92x = 15,999.90 × 7,738.60
  4. Step 4: Simplify right side
    10,658.92x = 123,816,826.14
  5. Step 5: Solve for x
    x = 123,816,826.14/10,658.92
  6. Step 6: Final answer
    x = 11,616.26

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1.5x scale

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.