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Finding the Fourth Proportional to 7,177.76, 9,905.80 and 4,033.94

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Solution

The fourth proportional to 7,177.76, 9,905.80 and 4,033.94 is: 5,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.76 : 9,905.80 = 4,033.94 : x
  2. Step 2: Convert to fraction form
    7,177.76/9,905.80 = 4,033.94/x
  3. Step 3: Cross multiply
    7,177.76x = 9,905.80 × 4,033.94
  4. Step 4: Simplify right side
    7,177.76x = 39,959,402.85
  5. Step 5: Solve for x
    x = 39,959,402.85/7,177.76
  6. Step 6: Final answer
    x = 5,567.11

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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.