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Finding the Fourth Proportional to 7,566, 11,340.88 and 3,661.80

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Solution

The fourth proportional to 7,566, 11,340.88 and 3,661.80 is: 5,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566 : 11,340.88 = 3,661.80 : x
  2. Step 2: Convert to fraction form
    7,566/11,340.88 = 3,661.80/x
  3. Step 3: Cross multiply
    7,566x = 11,340.88 × 3,661.80
  4. Step 4: Simplify right side
    7,566x = 41,528,034.38
  5. Step 5: Solve for x
    x = 41,528,034.38/7,566
  6. Step 6: Final answer
    x = 5,488.77

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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.