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Finding the Fourth Proportional to 3,409.34, 5,115.22 and 1,560.92

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Solution

The fourth proportional to 3,409.34, 5,115.22 and 1,560.92 is: 2,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.34 : 5,115.22 = 1,560.92 : x
  2. Step 2: Convert to fraction form
    3,409.34/5,115.22 = 1,560.92/x
  3. Step 3: Cross multiply
    3,409.34x = 5,115.22 × 1,560.92
  4. Step 4: Simplify right side
    3,409.34x = 7,984,419.72
  5. Step 5: Solve for x
    x = 7,984,419.72/3,409.34
  6. Step 6: Final answer
    x = 2,341.93

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1.5x scale

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.