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Finding the Fourth Proportional to 9,906.65, 13,670.60 and 5,927.72

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Solution

The fourth proportional to 9,906.65, 13,670.60 and 5,927.72 is: 8,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.65 : 13,670.60 = 5,927.72 : x
  2. Step 2: Convert to fraction form
    9,906.65/13,670.60 = 5,927.72/x
  3. Step 3: Cross multiply
    9,906.65x = 13,670.60 × 5,927.72
  4. Step 4: Simplify right side
    9,906.65x = 81,035,493.57
  5. Step 5: Solve for x
    x = 81,035,493.57/9,906.65
  6. Step 6: Final answer
    x = 8,179.91

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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.