Home / 2,469.86-3,409.64-1,909.06

Finding the Fourth Proportional to 2,469.86, 3,409.64 and 1,909.06

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Solution

The fourth proportional to 2,469.86, 3,409.64 and 1,909.06 is: 2,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.86 : 3,409.64 = 1,909.06 : x
  2. Step 2: Convert to fraction form
    2,469.86/3,409.64 = 1,909.06/x
  3. Step 3: Cross multiply
    2,469.86x = 3,409.64 × 1,909.06
  4. Step 4: Simplify right side
    2,469.86x = 6,509,219.95
  5. Step 5: Solve for x
    x = 6,509,219.95/2,469.86
  6. Step 6: Final answer
    x = 2,635.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.