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Finding the Fourth Proportional to 7,178.46, 9,907.05 and 4,195.30

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Solution

The fourth proportional to 7,178.46, 9,907.05 and 4,195.30 is: 5,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.46 : 9,907.05 = 4,195.30 : x
  2. Step 2: Convert to fraction form
    7,178.46/9,907.05 = 4,195.30/x
  3. Step 3: Cross multiply
    7,178.46x = 9,907.05 × 4,195.30
  4. Step 4: Simplify right side
    7,178.46x = 41,563,037.83
  5. Step 5: Solve for x
    x = 41,563,037.83/7,178.46
  6. Step 6: Final answer
    x = 5,789.97

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1.5x scale

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.