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Finding the Fourth Proportional to 9,861, 14,791.98 and 2,935.56

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Solution

The fourth proportional to 9,861, 14,791.98 and 2,935.56 is: 4,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861 : 14,791.98 = 2,935.56 : x
  2. Step 2: Convert to fraction form
    9,861/14,791.98 = 2,935.56/x
  3. Step 3: Cross multiply
    9,861x = 14,791.98 × 2,935.56
  4. Step 4: Simplify right side
    9,861x = 43,422,744.81
  5. Step 5: Solve for x
    x = 43,422,744.81/9,861
  6. Step 6: Final answer
    x = 4,403.48

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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.