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Finding the Fourth Proportional to 8,444.78, 12,664.14 and 2,896.69

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Solution

The fourth proportional to 8,444.78, 12,664.14 and 2,896.69 is: 4,343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.78 : 12,664.14 = 2,896.69 : x
  2. Step 2: Convert to fraction form
    8,444.78/12,664.14 = 2,896.69/x
  3. Step 3: Cross multiply
    8,444.78x = 12,664.14 × 2,896.69
  4. Step 4: Simplify right side
    8,444.78x = 36,684,045.17
  5. Step 5: Solve for x
    x = 36,684,045.17/8,444.78
  6. Step 6: Final answer
    x = 4,343.99

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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.