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Finding the Fourth Proportional to 5,108.01, 7,660.65 and 1,409.25

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Solution

The fourth proportional to 5,108.01, 7,660.65 and 1,409.25 is: 2,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.01 : 7,660.65 = 1,409.25 : x
  2. Step 2: Convert to fraction form
    5,108.01/7,660.65 = 1,409.25/x
  3. Step 3: Cross multiply
    5,108.01x = 7,660.65 × 1,409.25
  4. Step 4: Simplify right side
    5,108.01x = 10,795,757.97
  5. Step 5: Solve for x
    x = 10,795,757.97/5,108.01
  6. Step 6: Final answer
    x = 2,113.50

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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.