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Finding the Fourth Proportional to 8,668.66, 12,970.49 and 5,145.77

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Solution

The fourth proportional to 8,668.66, 12,970.49 and 5,145.77 is: 7,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.66 : 12,970.49 = 5,145.77 : x
  2. Step 2: Convert to fraction form
    8,668.66/12,970.49 = 5,145.77/x
  3. Step 3: Cross multiply
    8,668.66x = 12,970.49 × 5,145.77
  4. Step 4: Simplify right side
    8,668.66x = 66,743,158.33
  5. Step 5: Solve for x
    x = 66,743,158.33/8,668.66
  6. Step 6: Final answer
    x = 7,699.36

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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.