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Finding the Fourth Proportional to 6,782.98, 9,361.28 and 5,187.38

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Solution

The fourth proportional to 6,782.98, 9,361.28 and 5,187.38 is: 7,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.98 : 9,361.28 = 5,187.38 : x
  2. Step 2: Convert to fraction form
    6,782.98/9,361.28 = 5,187.38/x
  3. Step 3: Cross multiply
    6,782.98x = 9,361.28 × 5,187.38
  4. Step 4: Simplify right side
    6,782.98x = 48,560,516.65
  5. Step 5: Solve for x
    x = 48,560,516.65/6,782.98
  6. Step 6: Final answer
    x = 7,159.17

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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.