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Finding the Fourth Proportional to 8,663.64, 12,997.06 and 2,742.02

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Solution

The fourth proportional to 8,663.64, 12,997.06 and 2,742.02 is: 4,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.64 : 12,997.06 = 2,742.02 : x
  2. Step 2: Convert to fraction form
    8,663.64/12,997.06 = 2,742.02/x
  3. Step 3: Cross multiply
    8,663.64x = 12,997.06 × 2,742.02
  4. Step 4: Simplify right side
    8,663.64x = 35,638,198.46
  5. Step 5: Solve for x
    x = 35,638,198.46/8,663.64
  6. Step 6: Final answer
    x = 4,113.54

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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.