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Finding the Fourth Proportional to 8,664.71, 12,997.89 and 2,424.74

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Solution

The fourth proportional to 8,664.71, 12,997.89 and 2,424.74 is: 3,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.71 : 12,997.89 = 2,424.74 : x
  2. Step 2: Convert to fraction form
    8,664.71/12,997.89 = 2,424.74/x
  3. Step 3: Cross multiply
    8,664.71x = 12,997.89 × 2,424.74
  4. Step 4: Simplify right side
    8,664.71x = 31,516,438.81
  5. Step 5: Solve for x
    x = 31,516,438.81/8,664.71
  6. Step 6: Final answer
    x = 3,637.34

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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.