Home / 3,102.47-4,283.64-1,909.06

Finding the Fourth Proportional to 3,102.47, 4,283.64 and 1,909.06

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Solution

The fourth proportional to 3,102.47, 4,283.64 and 1,909.06 is: 2,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.47 : 4,283.64 = 1,909.06 : x
  2. Step 2: Convert to fraction form
    3,102.47/4,283.64 = 1,909.06/x
  3. Step 3: Cross multiply
    3,102.47x = 4,283.64 × 1,909.06
  4. Step 4: Simplify right side
    3,102.47x = 8,177,704.36
  5. Step 5: Solve for x
    x = 8,177,704.36/3,102.47
  6. Step 6: Final answer
    x = 2,635.87

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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.