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Finding the Fourth Proportional to 10,782.42, 14,872.80 and 6,952.38

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Solution

The fourth proportional to 10,782.42, 14,872.80 and 6,952.38 is: 9,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.42 : 14,872.80 = 6,952.38 : x
  2. Step 2: Convert to fraction form
    10,782.42/14,872.80 = 6,952.38/x
  3. Step 3: Cross multiply
    10,782.42x = 14,872.80 × 6,952.38
  4. Step 4: Simplify right side
    10,782.42x = 103,401,357.26
  5. Step 5: Solve for x
    x = 103,401,357.26/10,782.42
  6. Step 6: Final answer
    x = 9,589.81

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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.