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Finding the Fourth Proportional to 7,871.08, 10,851.60 and 6,747.16

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Solution

The fourth proportional to 7,871.08, 10,851.60 and 6,747.16 is: 9,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.08 : 10,851.60 = 6,747.16 : x
  2. Step 2: Convert to fraction form
    7,871.08/10,851.60 = 6,747.16/x
  3. Step 3: Cross multiply
    7,871.08x = 10,851.60 × 6,747.16
  4. Step 4: Simplify right side
    7,871.08x = 73,217,481.46
  5. Step 5: Solve for x
    x = 73,217,481.46/7,871.08
  6. Step 6: Final answer
    x = 9,302.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.