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Finding the Fourth Proportional to 7,011.75, 9,676.23 and 3,868.15

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Solution

The fourth proportional to 7,011.75, 9,676.23 and 3,868.15 is: 5,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.75 : 9,676.23 = 3,868.15 : x
  2. Step 2: Convert to fraction form
    7,011.75/9,676.23 = 3,868.15/x
  3. Step 3: Cross multiply
    7,011.75x = 9,676.23 × 3,868.15
  4. Step 4: Simplify right side
    7,011.75x = 37,429,089.73
  5. Step 5: Solve for x
    x = 37,429,089.73/7,011.75
  6. Step 6: Final answer
    x = 5,338.05

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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.