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Finding the Fourth Proportional to 8,666.66, 12,967.49 and 5,143.77

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Solution

The fourth proportional to 8,666.66, 12,967.49 and 5,143.77 is: 7,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.66 : 12,967.49 = 5,143.77 : x
  2. Step 2: Convert to fraction form
    8,666.66/12,967.49 = 5,143.77/x
  3. Step 3: Cross multiply
    8,666.66x = 12,967.49 × 5,143.77
  4. Step 4: Simplify right side
    8,666.66x = 66,701,798.90
  5. Step 5: Solve for x
    x = 66,701,798.90/8,666.66
  6. Step 6: Final answer
    x = 7,696.37

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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.