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Finding the Fourth Proportional to 8,381.43, 12,567.33 and 3,447

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Solution

The fourth proportional to 8,381.43, 12,567.33 and 3,447 is: 5,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.43 : 12,567.33 = 3,447 : x
  2. Step 2: Convert to fraction form
    8,381.43/12,567.33 = 3,447/x
  3. Step 3: Cross multiply
    8,381.43x = 12,567.33 × 3,447
  4. Step 4: Simplify right side
    8,381.43x = 43,319,586.51
  5. Step 5: Solve for x
    x = 43,319,586.51/8,381.43
  6. Step 6: Final answer
    x = 5,168.52

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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.