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Finding the Fourth Proportional to 8,603, 12,906.66 and 2,447

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Solution

The fourth proportional to 8,603, 12,906.66 and 2,447 is: 3,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603 : 12,906.66 = 2,447 : x
  2. Step 2: Convert to fraction form
    8,603/12,906.66 = 2,447/x
  3. Step 3: Cross multiply
    8,603x = 12,906.66 × 2,447
  4. Step 4: Simplify right side
    8,603x = 31,582,597.02
  5. Step 5: Solve for x
    x = 31,582,597.02/8,603
  6. Step 6: Final answer
    x = 3,671.11

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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.