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Finding the Fourth Proportional to 7,172.49, 10,686.65 and 6,769.62

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Solution

The fourth proportional to 7,172.49, 10,686.65 and 6,769.62 is: 10,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.49 : 10,686.65 = 6,769.62 : x
  2. Step 2: Convert to fraction form
    7,172.49/10,686.65 = 6,769.62/x
  3. Step 3: Cross multiply
    7,172.49x = 10,686.65 × 6,769.62
  4. Step 4: Simplify right side
    7,172.49x = 72,344,525.72
  5. Step 5: Solve for x
    x = 72,344,525.72/7,172.49
  6. Step 6: Final answer
    x = 10,086.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.