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Finding the Fourth Proportional to 8,709.48, 13,051.77 and 6,959.80

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Solution

The fourth proportional to 8,709.48, 13,051.77 and 6,959.80 is: 10,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.48 : 13,051.77 = 6,959.80 : x
  2. Step 2: Convert to fraction form
    8,709.48/13,051.77 = 6,959.80/x
  3. Step 3: Cross multiply
    8,709.48x = 13,051.77 × 6,959.80
  4. Step 4: Simplify right side
    8,709.48x = 90,837,706.68
  5. Step 5: Solve for x
    x = 90,837,706.68/8,709.48
  6. Step 6: Final answer
    x = 10,429.75

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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.