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Finding the Fourth Proportional to 12,920.82, 19,365 and 5,516.60

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Solution

The fourth proportional to 12,920.82, 19,365 and 5,516.60 is: 8,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.82 : 19,365 = 5,516.60 : x
  2. Step 2: Convert to fraction form
    12,920.82/19,365 = 5,516.60/x
  3. Step 3: Cross multiply
    12,920.82x = 19,365 × 5,516.60
  4. Step 4: Simplify right side
    12,920.82x = 106,828,959
  5. Step 5: Solve for x
    x = 106,828,959/12,920.82
  6. Step 6: Final answer
    x = 8,267.97

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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.