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Finding the Fourth Proportional to 9,964.86, 14,947.29 and 8,681.82

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Solution

The fourth proportional to 9,964.86, 14,947.29 and 8,681.82 is: 13,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.86 : 14,947.29 = 8,681.82 : x
  2. Step 2: Convert to fraction form
    9,964.86/14,947.29 = 8,681.82/x
  3. Step 3: Cross multiply
    9,964.86x = 14,947.29 × 8,681.82
  4. Step 4: Simplify right side
    9,964.86x = 129,769,681.27
  5. Step 5: Solve for x
    x = 129,769,681.27/9,964.86
  6. Step 6: Final answer
    x = 13,022.73

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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.