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Finding the Fourth Proportional to 12,872.53, 17,764.36 and 7,283.53

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Solution

The fourth proportional to 12,872.53, 17,764.36 and 7,283.53 is: 10,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.53 : 17,764.36 = 7,283.53 : x
  2. Step 2: Convert to fraction form
    12,872.53/17,764.36 = 7,283.53/x
  3. Step 3: Cross multiply
    12,872.53x = 17,764.36 × 7,283.53
  4. Step 4: Simplify right side
    12,872.53x = 129,387,293.96
  5. Step 5: Solve for x
    x = 129,387,293.96/12,872.53
  6. Step 6: Final answer
    x = 10,051.43

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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.