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Finding the Fourth Proportional to 8,982.25, 12,395.63 and 5,205.69

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Solution

The fourth proportional to 8,982.25, 12,395.63 and 5,205.69 is: 7,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.25 : 12,395.63 = 5,205.69 : x
  2. Step 2: Convert to fraction form
    8,982.25/12,395.63 = 5,205.69/x
  3. Step 3: Cross multiply
    8,982.25x = 12,395.63 × 5,205.69
  4. Step 4: Simplify right side
    8,982.25x = 64,527,807.13
  5. Step 5: Solve for x
    x = 64,527,807.13/8,982.25
  6. Step 6: Final answer
    x = 7,183.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.