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Finding the Fourth Proportional to 12,891.96, 19,343.34 and 7,695

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Solution

The fourth proportional to 12,891.96, 19,343.34 and 7,695 is: 11,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.96 : 19,343.34 = 7,695 : x
  2. Step 2: Convert to fraction form
    12,891.96/19,343.34 = 7,695/x
  3. Step 3: Cross multiply
    12,891.96x = 19,343.34 × 7,695
  4. Step 4: Simplify right side
    12,891.96x = 148,847,001.30
  5. Step 5: Solve for x
    x = 148,847,001.30/12,891.96
  6. Step 6: Final answer
    x = 11,545.72

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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.