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Finding the Fourth Proportional to 8,428.00, 12,647.63 and 3,497.63

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Solution

The fourth proportional to 8,428.00, 12,647.63 and 3,497.63 is: 5,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.00 : 12,647.63 = 3,497.63 : x
  2. Step 2: Convert to fraction form
    8,428.00/12,647.63 = 3,497.63/x
  3. Step 3: Cross multiply
    8,428.00x = 12,647.63 × 3,497.63
  4. Step 4: Simplify right side
    8,428.00x = 44,236,741.85
  5. Step 5: Solve for x
    x = 44,236,741.85/8,428.00
  6. Step 6: Final answer
    x = 5,248.78

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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.