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Finding the Fourth Proportional to 8,266.41, 11,407.37 and 4,729.34

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Solution

The fourth proportional to 8,266.41, 11,407.37 and 4,729.34 is: 6,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.41 : 11,407.37 = 4,729.34 : x
  2. Step 2: Convert to fraction form
    8,266.41/11,407.37 = 4,729.34/x
  3. Step 3: Cross multiply
    8,266.41x = 11,407.37 × 4,729.34
  4. Step 4: Simplify right side
    8,266.41x = 53,949,336.11
  5. Step 5: Solve for x
    x = 53,949,336.11/8,266.41
  6. Step 6: Final answer
    x = 6,526.33

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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.