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Finding the Fourth Proportional to 7,871.76, 10,814.40 and 7,043.43

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Solution

The fourth proportional to 7,871.76, 10,814.40 and 7,043.43 is: 9,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.76 : 10,814.40 = 7,043.43 : x
  2. Step 2: Convert to fraction form
    7,871.76/10,814.40 = 7,043.43/x
  3. Step 3: Cross multiply
    7,871.76x = 10,814.40 × 7,043.43
  4. Step 4: Simplify right side
    7,871.76x = 76,170,469.39
  5. Step 5: Solve for x
    x = 76,170,469.39/7,871.76
  6. Step 6: Final answer
    x = 9,676.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.