Home / 3,106.47-4,286.88-1,780.11

Finding the Fourth Proportional to 3,106.47, 4,286.88 and 1,780.11

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Solution

The fourth proportional to 3,106.47, 4,286.88 and 1,780.11 is: 2,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.47 : 4,286.88 = 1,780.11 : x
  2. Step 2: Convert to fraction form
    3,106.47/4,286.88 = 1,780.11/x
  3. Step 3: Cross multiply
    3,106.47x = 4,286.88 × 1,780.11
  4. Step 4: Simplify right side
    3,106.47x = 7,631,117.96
  5. Step 5: Solve for x
    x = 7,631,117.96/3,106.47
  6. Step 6: Final answer
    x = 2,456.52

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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.