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Finding the Fourth Proportional to 9,990, 14,982.84 and 7,059.96

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Solution

The fourth proportional to 9,990, 14,982.84 and 7,059.96 is: 10,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990 : 14,982.84 = 7,059.96 : x
  2. Step 2: Convert to fraction form
    9,990/14,982.84 = 7,059.96/x
  3. Step 3: Cross multiply
    9,990x = 14,982.84 × 7,059.96
  4. Step 4: Simplify right side
    9,990x = 105,778,251.09
  5. Step 5: Solve for x
    x = 105,778,251.09/9,990
  6. Step 6: Final answer
    x = 10,588.41

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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.