Home / 3,106.86-4,287.68-1,709.70

Finding the Fourth Proportional to 3,106.86, 4,287.68 and 1,709.70

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Solution

The fourth proportional to 3,106.86, 4,287.68 and 1,709.70 is: 2,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.86 : 4,287.68 = 1,709.70 : x
  2. Step 2: Convert to fraction form
    3,106.86/4,287.68 = 1,709.70/x
  3. Step 3: Cross multiply
    3,106.86x = 4,287.68 × 1,709.70
  4. Step 4: Simplify right side
    3,106.86x = 7,330,646.50
  5. Step 5: Solve for x
    x = 7,330,646.50/3,106.86
  6. Step 6: Final answer
    x = 2,359.50

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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.