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Finding the Fourth Proportional to 7,178.65, 9,907.31 and 4,195.49

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Solution

The fourth proportional to 7,178.65, 9,907.31 and 4,195.49 is: 5,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.65 : 9,907.31 = 4,195.49 : x
  2. Step 2: Convert to fraction form
    7,178.65/9,907.31 = 4,195.49/x
  3. Step 3: Cross multiply
    7,178.65x = 9,907.31 × 4,195.49
  4. Step 4: Simplify right side
    7,178.65x = 41,565,980.98
  5. Step 5: Solve for x
    x = 41,565,980.98/7,178.65
  6. Step 6: Final answer
    x = 5,790.22

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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.