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Finding the Fourth Proportional to 8,509.46, 12,759.87 and 3,888.50

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Solution

The fourth proportional to 8,509.46, 12,759.87 and 3,888.50 is: 5,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.46 : 12,759.87 = 3,888.50 : x
  2. Step 2: Convert to fraction form
    8,509.46/12,759.87 = 3,888.50/x
  3. Step 3: Cross multiply
    8,509.46x = 12,759.87 × 3,888.50
  4. Step 4: Simplify right side
    8,509.46x = 49,616,754.50
  5. Step 5: Solve for x
    x = 49,616,754.50/8,509.46
  6. Step 6: Final answer
    x = 5,830.78

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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.