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Finding the Fourth Proportional to 8,011.50, 12,021.57 and 3,907.50

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Solution

The fourth proportional to 8,011.50, 12,021.57 and 3,907.50 is: 5,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.50 : 12,021.57 = 3,907.50 : x
  2. Step 2: Convert to fraction form
    8,011.50/12,021.57 = 3,907.50/x
  3. Step 3: Cross multiply
    8,011.50x = 12,021.57 × 3,907.50
  4. Step 4: Simplify right side
    8,011.50x = 46,974,284.78
  5. Step 5: Solve for x
    x = 46,974,284.78/8,011.50
  6. Step 6: Final answer
    x = 5,863.36

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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.