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Finding the Fourth Proportional to 7,178.63, 9,905.90 and 4,034.61

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Solution

The fourth proportional to 7,178.63, 9,905.90 and 4,034.61 is: 5,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.63 : 9,905.90 = 4,034.61 : x
  2. Step 2: Convert to fraction form
    7,178.63/9,905.90 = 4,034.61/x
  3. Step 3: Cross multiply
    7,178.63x = 9,905.90 × 4,034.61
  4. Step 4: Simplify right side
    7,178.63x = 39,966,423.03
  5. Step 5: Solve for x
    x = 39,966,423.03/7,178.63
  6. Step 6: Final answer
    x = 5,567.42

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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.