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Finding the Fourth Proportional to 8,509.69, 12,766.56 and 2,666.77

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Solution

The fourth proportional to 8,509.69, 12,766.56 and 2,666.77 is: 4,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.69 : 12,766.56 = 2,666.77 : x
  2. Step 2: Convert to fraction form
    8,509.69/12,766.56 = 2,666.77/x
  3. Step 3: Cross multiply
    8,509.69x = 12,766.56 × 2,666.77
  4. Step 4: Simplify right side
    8,509.69x = 34,045,479.21
  5. Step 5: Solve for x
    x = 34,045,479.21/8,509.69
  6. Step 6: Final answer
    x = 4,000.79

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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.