Home / 3,106.91-4,287.72-1,780.70

Finding the Fourth Proportional to 3,106.91, 4,287.72 and 1,780.70

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Solution

The fourth proportional to 3,106.91, 4,287.72 and 1,780.70 is: 2,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.91 : 4,287.72 = 1,780.70 : x
  2. Step 2: Convert to fraction form
    3,106.91/4,287.72 = 1,780.70/x
  3. Step 3: Cross multiply
    3,106.91x = 4,287.72 × 1,780.70
  4. Step 4: Simplify right side
    3,106.91x = 7,635,120.50
  5. Step 5: Solve for x
    x = 7,635,120.50/3,106.91
  6. Step 6: Final answer
    x = 2,457.47

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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.