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Finding the Fourth Proportional to 11,161.81, 16,742.71 and 8,698.47

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Solution

The fourth proportional to 11,161.81, 16,742.71 and 8,698.47 is: 13,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.81 : 16,742.71 = 8,698.47 : x
  2. Step 2: Convert to fraction form
    11,161.81/16,742.71 = 8,698.47/x
  3. Step 3: Cross multiply
    11,161.81x = 16,742.71 × 8,698.47
  4. Step 4: Simplify right side
    11,161.81x = 145,635,934.29
  5. Step 5: Solve for x
    x = 145,635,934.29/11,161.81
  6. Step 6: Final answer
    x = 13,047.70

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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.