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Finding the Fourth Proportional to 9,989.82, 14,976.09 and 3,829.50

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Solution

The fourth proportional to 9,989.82, 14,976.09 and 3,829.50 is: 5,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.82 : 14,976.09 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    9,989.82/14,976.09 = 3,829.50/x
  3. Step 3: Cross multiply
    9,989.82x = 14,976.09 × 3,829.50
  4. Step 4: Simplify right side
    9,989.82x = 57,350,936.66
  5. Step 5: Solve for x
    x = 57,350,936.66/9,989.82
  6. Step 6: Final answer
    x = 5,740.94

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1.5x scale

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.