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Finding the Fourth Proportional to 8,806, 13,213.31 and 3,875.02

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Solution

The fourth proportional to 8,806, 13,213.31 and 3,875.02 is: 5,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806 : 13,213.31 = 3,875.02 : x
  2. Step 2: Convert to fraction form
    8,806/13,213.31 = 3,875.02/x
  3. Step 3: Cross multiply
    8,806x = 13,213.31 × 3,875.02
  4. Step 4: Simplify right side
    8,806x = 51,201,840.52
  5. Step 5: Solve for x
    x = 51,201,840.52/8,806
  6. Step 6: Final answer
    x = 5,814.43

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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.