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Finding the Fourth Proportional to 6,872.94, 10,309.72 and 5,004.65

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Solution

The fourth proportional to 6,872.94, 10,309.72 and 5,004.65 is: 7,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.94 : 10,309.72 = 5,004.65 : x
  2. Step 2: Convert to fraction form
    6,872.94/10,309.72 = 5,004.65/x
  3. Step 3: Cross multiply
    6,872.94x = 10,309.72 × 5,004.65
  4. Step 4: Simplify right side
    6,872.94x = 51,596,553.46
  5. Step 5: Solve for x
    x = 51,596,553.46/6,872.94
  6. Step 6: Final answer
    x = 7,507.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.