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Finding the Fourth Proportional to 3,606, 5,409.36 and 1,298.40

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Solution

The fourth proportional to 3,606, 5,409.36 and 1,298.40 is: 1,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606 : 5,409.36 = 1,298.40 : x
  2. Step 2: Convert to fraction form
    3,606/5,409.36 = 1,298.40/x
  3. Step 3: Cross multiply
    3,606x = 5,409.36 × 1,298.40
  4. Step 4: Simplify right side
    3,606x = 7,023,513.02
  5. Step 5: Solve for x
    x = 7,023,513.02/3,606
  6. Step 6: Final answer
    x = 1,947.73

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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.