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Finding the Fourth Proportional to 7,798.74, 11,687.76 and 3,411.42

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Solution

The fourth proportional to 7,798.74, 11,687.76 and 3,411.42 is: 5,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.74 : 11,687.76 = 3,411.42 : x
  2. Step 2: Convert to fraction form
    7,798.74/11,687.76 = 3,411.42/x
  3. Step 3: Cross multiply
    7,798.74x = 11,687.76 × 3,411.42
  4. Step 4: Simplify right side
    7,798.74x = 39,871,858.22
  5. Step 5: Solve for x
    x = 39,871,858.22/7,798.74
  6. Step 6: Final answer
    x = 5,112.60

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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.