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Finding the Fourth Proportional to 8,209.80, 11,328.18 and 5,065.80

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Solution

The fourth proportional to 8,209.80, 11,328.18 and 5,065.80 is: 6,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.80 : 11,328.18 = 5,065.80 : x
  2. Step 2: Convert to fraction form
    8,209.80/11,328.18 = 5,065.80/x
  3. Step 3: Cross multiply
    8,209.80x = 11,328.18 × 5,065.80
  4. Step 4: Simplify right side
    8,209.80x = 57,386,294.24
  5. Step 5: Solve for x
    x = 57,386,294.24/8,209.80
  6. Step 6: Final answer
    x = 6,989.97

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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.