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Finding the Fourth Proportional to 9,906.30, 14,851.26 and 7,724.70

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Solution

The fourth proportional to 9,906.30, 14,851.26 and 7,724.70 is: 11,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.30 : 14,851.26 = 7,724.70 : x
  2. Step 2: Convert to fraction form
    9,906.30/14,851.26 = 7,724.70/x
  3. Step 3: Cross multiply
    9,906.30x = 14,851.26 × 7,724.70
  4. Step 4: Simplify right side
    9,906.30x = 114,721,528.12
  5. Step 5: Solve for x
    x = 114,721,528.12/9,906.30
  6. Step 6: Final answer
    x = 11,580.66

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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.