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Finding the Fourth Proportional to 7,798.59, 11,691.26 and 3,412.77

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Solution

The fourth proportional to 7,798.59, 11,691.26 and 3,412.77 is: 5,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.59 : 11,691.26 = 3,412.77 : x
  2. Step 2: Convert to fraction form
    7,798.59/11,691.26 = 3,412.77/x
  3. Step 3: Cross multiply
    7,798.59x = 11,691.26 × 3,412.77
  4. Step 4: Simplify right side
    7,798.59x = 39,899,564.33
  5. Step 5: Solve for x
    x = 39,899,564.33/7,798.59
  6. Step 6: Final answer
    x = 5,116.25

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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.