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Finding the Fourth Proportional to 10,650.26, 14,696.64 and 6,398.80

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Solution

The fourth proportional to 10,650.26, 14,696.64 and 6,398.80 is: 8,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.26 : 14,696.64 = 6,398.80 : x
  2. Step 2: Convert to fraction form
    10,650.26/14,696.64 = 6,398.80/x
  3. Step 3: Cross multiply
    10,650.26x = 14,696.64 × 6,398.80
  4. Step 4: Simplify right side
    10,650.26x = 94,040,860.03
  5. Step 5: Solve for x
    x = 94,040,860.03/10,650.26
  6. Step 6: Final answer
    x = 8,829.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.