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Finding the Fourth Proportional to 7,173.49, 10,688.14 and 6,770.62

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Solution

The fourth proportional to 7,173.49, 10,688.14 and 6,770.62 is: 10,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.49 : 10,688.14 = 6,770.62 : x
  2. Step 2: Convert to fraction form
    7,173.49/10,688.14 = 6,770.62/x
  3. Step 3: Cross multiply
    7,173.49x = 10,688.14 × 6,770.62
  4. Step 4: Simplify right side
    7,173.49x = 72,365,300.59
  5. Step 5: Solve for x
    x = 72,365,300.59/7,173.49
  6. Step 6: Final answer
    x = 10,087.88

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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.