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Finding the Fourth Proportional to 7,011.12, 10,500.36 and 3,540

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Solution

The fourth proportional to 7,011.12, 10,500.36 and 3,540 is: 5,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.12 : 10,500.36 = 3,540 : x
  2. Step 2: Convert to fraction form
    7,011.12/10,500.36 = 3,540/x
  3. Step 3: Cross multiply
    7,011.12x = 10,500.36 × 3,540
  4. Step 4: Simplify right side
    7,011.12x = 37,171,274.40
  5. Step 5: Solve for x
    x = 37,171,274.40/7,011.12
  6. Step 6: Final answer
    x = 5,301.76

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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.