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Finding the Fourth Proportional to 8,722.80, 13,066.02 and 6,865.02

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Solution

The fourth proportional to 8,722.80, 13,066.02 and 6,865.02 is: 10,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.80 : 13,066.02 = 6,865.02 : x
  2. Step 2: Convert to fraction form
    8,722.80/13,066.02 = 6,865.02/x
  3. Step 3: Cross multiply
    8,722.80x = 13,066.02 × 6,865.02
  4. Step 4: Simplify right side
    8,722.80x = 89,698,488.62
  5. Step 5: Solve for x
    x = 89,698,488.62/8,722.80
  6. Step 6: Final answer
    x = 10,283.22

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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.