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Finding the Fourth Proportional to 9,961.40, 14,942.10 and 5,806.10

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Solution

The fourth proportional to 9,961.40, 14,942.10 and 5,806.10 is: 8,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.40 : 14,942.10 = 5,806.10 : x
  2. Step 2: Convert to fraction form
    9,961.40/14,942.10 = 5,806.10/x
  3. Step 3: Cross multiply
    9,961.40x = 14,942.10 × 5,806.10
  4. Step 4: Simplify right side
    9,961.40x = 86,755,326.81
  5. Step 5: Solve for x
    x = 86,755,326.81/9,961.40
  6. Step 6: Final answer
    x = 8,709.15

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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.