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Finding the Fourth Proportional to 8,291.56, 12,420.06 and 3,677.80

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Solution

The fourth proportional to 8,291.56, 12,420.06 and 3,677.80 is: 5,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.56 : 12,420.06 = 3,677.80 : x
  2. Step 2: Convert to fraction form
    8,291.56/12,420.06 = 3,677.80/x
  3. Step 3: Cross multiply
    8,291.56x = 12,420.06 × 3,677.80
  4. Step 4: Simplify right side
    8,291.56x = 45,678,496.67
  5. Step 5: Solve for x
    x = 45,678,496.67/8,291.56
  6. Step 6: Final answer
    x = 5,509.04

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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.