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Finding the Fourth Proportional to 6,571.42, 9,857.34 and 2,871.76

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Solution

The fourth proportional to 6,571.42, 9,857.34 and 2,871.76 is: 4,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.42 : 9,857.34 = 2,871.76 : x
  2. Step 2: Convert to fraction form
    6,571.42/9,857.34 = 2,871.76/x
  3. Step 3: Cross multiply
    6,571.42x = 9,857.34 × 2,871.76
  4. Step 4: Simplify right side
    6,571.42x = 28,307,914.72
  5. Step 5: Solve for x
    x = 28,307,914.72/6,571.42
  6. Step 6: Final answer
    x = 4,307.73

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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.