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Finding the Fourth Proportional to 7,798.17, 11,687.40 and 3,410.40

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Solution

The fourth proportional to 7,798.17, 11,687.40 and 3,410.40 is: 5,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.17 : 11,687.40 = 3,410.40 : x
  2. Step 2: Convert to fraction form
    7,798.17/11,687.40 = 3,410.40/x
  3. Step 3: Cross multiply
    7,798.17x = 11,687.40 × 3,410.40
  4. Step 4: Simplify right side
    7,798.17x = 39,858,708.96
  5. Step 5: Solve for x
    x = 39,858,708.96/7,798.17
  6. Step 6: Final answer
    x = 5,111.29

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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.