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Finding the Fourth Proportional to 13,112.61, 18,102.10 and 8,886

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Solution

The fourth proportional to 13,112.61, 18,102.10 and 8,886 is: 12,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.61 : 18,102.10 = 8,886 : x
  2. Step 2: Convert to fraction form
    13,112.61/18,102.10 = 8,886/x
  3. Step 3: Cross multiply
    13,112.61x = 18,102.10 × 8,886
  4. Step 4: Simplify right side
    13,112.61x = 160,855,282.82
  5. Step 5: Solve for x
    x = 160,855,282.82/13,112.61
  6. Step 6: Final answer
    x = 12,267.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.