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Finding the Fourth Proportional to 7,171.74, 10,747.53 and 6,777.42

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Solution

The fourth proportional to 7,171.74, 10,747.53 and 6,777.42 is: 10,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.74 : 10,747.53 = 6,777.42 : x
  2. Step 2: Convert to fraction form
    7,171.74/10,747.53 = 6,777.42/x
  3. Step 3: Cross multiply
    7,171.74x = 10,747.53 × 6,777.42
  4. Step 4: Simplify right side
    7,171.74x = 72,840,524.77
  5. Step 5: Solve for x
    x = 72,840,524.77/7,171.74
  6. Step 6: Final answer
    x = 10,156.60

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1.5x scale

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.