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Finding the Fourth Proportional to 11,176, 16,761.78 and 5,547.79

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Solution

The fourth proportional to 11,176, 16,761.78 and 5,547.79 is: 8,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176 : 16,761.78 = 5,547.79 : x
  2. Step 2: Convert to fraction form
    11,176/16,761.78 = 5,547.79/x
  3. Step 3: Cross multiply
    11,176x = 16,761.78 × 5,547.79
  4. Step 4: Simplify right side
    11,176x = 92,990,835.47
  5. Step 5: Solve for x
    x = 92,990,835.47/11,176
  6. Step 6: Final answer
    x = 8,320.58

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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.