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Finding the Fourth Proportional to 7,190.96, 9,870.49 and 6,387.44

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Solution

The fourth proportional to 7,190.96, 9,870.49 and 6,387.44 is: 8,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.96 : 9,870.49 = 6,387.44 : x
  2. Step 2: Convert to fraction form
    7,190.96/9,870.49 = 6,387.44/x
  3. Step 3: Cross multiply
    7,190.96x = 9,870.49 × 6,387.44
  4. Step 4: Simplify right side
    7,190.96x = 63,047,162.65
  5. Step 5: Solve for x
    x = 63,047,162.65/7,190.96
  6. Step 6: Final answer
    x = 8,767.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.