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Finding the Fourth Proportional to 9,964, 14,947.89 and 3,728.40

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Solution

The fourth proportional to 9,964, 14,947.89 and 3,728.40 is: 5,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 14,947.89 = 3,728.40 : x
  2. Step 2: Convert to fraction form
    9,964/14,947.89 = 3,728.40/x
  3. Step 3: Cross multiply
    9,964x = 14,947.89 × 3,728.40
  4. Step 4: Simplify right side
    9,964x = 55,731,713.08
  5. Step 5: Solve for x
    x = 55,731,713.08/9,964
  6. Step 6: Final answer
    x = 5,593.31

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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.