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Finding the Fourth Proportional to 8,201.68, 12,303.89 and 2,656.42

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Solution

The fourth proportional to 8,201.68, 12,303.89 and 2,656.42 is: 3,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.68 : 12,303.89 = 2,656.42 : x
  2. Step 2: Convert to fraction form
    8,201.68/12,303.89 = 2,656.42/x
  3. Step 3: Cross multiply
    8,201.68x = 12,303.89 × 2,656.42
  4. Step 4: Simplify right side
    8,201.68x = 32,684,299.47
  5. Step 5: Solve for x
    x = 32,684,299.47/8,201.68
  6. Step 6: Final answer
    x = 3,985.07

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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.