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Finding the Fourth Proportional to 8,710.86, 13,044.40 and 6,764.42

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Solution

The fourth proportional to 8,710.86, 13,044.40 and 6,764.42 is: 10,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.86 : 13,044.40 = 6,764.42 : x
  2. Step 2: Convert to fraction form
    8,710.86/13,044.40 = 6,764.42/x
  3. Step 3: Cross multiply
    8,710.86x = 13,044.40 × 6,764.42
  4. Step 4: Simplify right side
    8,710.86x = 88,237,800.25
  5. Step 5: Solve for x
    x = 88,237,800.25/8,710.86
  6. Step 6: Final answer
    x = 10,129.63

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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.