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Finding the Fourth Proportional to 11,776.54, 17,664.13 and 4,377.65

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Solution

The fourth proportional to 11,776.54, 17,664.13 and 4,377.65 is: 6,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.54 : 17,664.13 = 4,377.65 : x
  2. Step 2: Convert to fraction form
    11,776.54/17,664.13 = 4,377.65/x
  3. Step 3: Cross multiply
    11,776.54x = 17,664.13 × 4,377.65
  4. Step 4: Simplify right side
    11,776.54x = 77,327,271.22
  5. Step 5: Solve for x
    x = 77,327,271.22/11,776.54
  6. Step 6: Final answer
    x = 6,566.21

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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.