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Finding the Fourth Proportional to 7,868.72, 11,800.92 and 3,488.24

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Solution

The fourth proportional to 7,868.72, 11,800.92 and 3,488.24 is: 5,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.72 : 11,800.92 = 3,488.24 : x
  2. Step 2: Convert to fraction form
    7,868.72/11,800.92 = 3,488.24/x
  3. Step 3: Cross multiply
    7,868.72x = 11,800.92 × 3,488.24
  4. Step 4: Simplify right side
    7,868.72x = 41,164,441.18
  5. Step 5: Solve for x
    x = 41,164,441.18/7,868.72
  6. Step 6: Final answer
    x = 5,231.40

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1.5x scale

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.