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Finding the Fourth Proportional to 12,691.98, 19,044.84 and 5,297.07

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Solution

The fourth proportional to 12,691.98, 19,044.84 and 5,297.07 is: 7,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.98 : 19,044.84 = 5,297.07 : x
  2. Step 2: Convert to fraction form
    12,691.98/19,044.84 = 5,297.07/x
  3. Step 3: Cross multiply
    12,691.98x = 19,044.84 × 5,297.07
  4. Step 4: Simplify right side
    12,691.98x = 100,881,850.62
  5. Step 5: Solve for x
    x = 100,881,850.62/12,691.98
  6. Step 6: Final answer
    x = 7,948.47

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1.5x scale

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.