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Finding the Fourth Proportional to 12,691.57, 19,041.86 and 5,670.94

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Solution

The fourth proportional to 12,691.57, 19,041.86 and 5,670.94 is: 8,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.57 : 19,041.86 = 5,670.94 : x
  2. Step 2: Convert to fraction form
    12,691.57/19,041.86 = 5,670.94/x
  3. Step 3: Cross multiply
    12,691.57x = 19,041.86 × 5,670.94
  4. Step 4: Simplify right side
    12,691.57x = 107,985,121.98
  5. Step 5: Solve for x
    x = 107,985,121.98/12,691.57
  6. Step 6: Final answer
    x = 8,508.42

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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.