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Finding the Fourth Proportional to 12,661.50, 18,994.68 and 5,736

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Solution

The fourth proportional to 12,661.50, 18,994.68 and 5,736 is: 8,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.50 : 18,994.68 = 5,736 : x
  2. Step 2: Convert to fraction form
    12,661.50/18,994.68 = 5,736/x
  3. Step 3: Cross multiply
    12,661.50x = 18,994.68 × 5,736
  4. Step 4: Simplify right side
    12,661.50x = 108,953,484.48
  5. Step 5: Solve for x
    x = 108,953,484.48/12,661.50
  6. Step 6: Final answer
    x = 8,605.10

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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.