Home / 7,031.12-10,546-2,871.50

Finding the Fourth Proportional to 7,031.12, 10,546 and 2,871.50

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Solution

The fourth proportional to 7,031.12, 10,546 and 2,871.50 is: 4,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.12 : 10,546 = 2,871.50 : x
  2. Step 2: Convert to fraction form
    7,031.12/10,546 = 2,871.50/x
  3. Step 3: Cross multiply
    7,031.12x = 10,546 × 2,871.50
  4. Step 4: Simplify right side
    7,031.12x = 30,282,839
  5. Step 5: Solve for x
    x = 30,282,839/7,031.12
  6. Step 6: Final answer
    x = 4,306.97

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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.