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Finding the Fourth Proportional to 12,444.69, 18,642 and 6,185.76

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Solution

The fourth proportional to 12,444.69, 18,642 and 6,185.76 is: 9,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.69 : 18,642 = 6,185.76 : x
  2. Step 2: Convert to fraction form
    12,444.69/18,642 = 6,185.76/x
  3. Step 3: Cross multiply
    12,444.69x = 18,642 × 6,185.76
  4. Step 4: Simplify right side
    12,444.69x = 115,314,937.92
  5. Step 5: Solve for x
    x = 115,314,937.92/12,444.69
  6. Step 6: Final answer
    x = 9,266.20

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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.