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Finding the Fourth Proportional to 9,606.78, 13,243.05 and 7,717.68

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Solution

The fourth proportional to 9,606.78, 13,243.05 and 7,717.68 is: 10,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.78 : 13,243.05 = 7,717.68 : x
  2. Step 2: Convert to fraction form
    9,606.78/13,243.05 = 7,717.68/x
  3. Step 3: Cross multiply
    9,606.78x = 13,243.05 × 7,717.68
  4. Step 4: Simplify right side
    9,606.78x = 102,205,622.12
  5. Step 5: Solve for x
    x = 102,205,622.12/9,606.78
  6. Step 6: Final answer
    x = 10,638.91

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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.