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Finding the Fourth Proportional to 12,410.88, 18,624 and 4,625.28

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Solution

The fourth proportional to 12,410.88, 18,624 and 4,625.28 is: 6,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.88 : 18,624 = 4,625.28 : x
  2. Step 2: Convert to fraction form
    12,410.88/18,624 = 4,625.28/x
  3. Step 3: Cross multiply
    12,410.88x = 18,624 × 4,625.28
  4. Step 4: Simplify right side
    12,410.88x = 86,141,214.72
  5. Step 5: Solve for x
    x = 86,141,214.72/12,410.88
  6. Step 6: Final answer
    x = 6,940.78

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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.