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Finding the Fourth Proportional to 9,990.99, 14,986.46 and 9,382.02

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Solution

The fourth proportional to 9,990.99, 14,986.46 and 9,382.02 is: 14,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.99 : 14,986.46 = 9,382.02 : x
  2. Step 2: Convert to fraction form
    9,990.99/14,986.46 = 9,382.02/x
  3. Step 3: Cross multiply
    9,990.99x = 14,986.46 × 9,382.02
  4. Step 4: Simplify right side
    9,990.99x = 140,603,267.45
  5. Step 5: Solve for x
    x = 140,603,267.45/9,990.99
  6. Step 6: Final answer
    x = 14,073.01

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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.