Home / 4,162.86-6,245.91-1,566

Finding the Fourth Proportional to 4,162.86, 6,245.91 and 1,566

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Solution

The fourth proportional to 4,162.86, 6,245.91 and 1,566 is: 2,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.86 : 6,245.91 = 1,566 : x
  2. Step 2: Convert to fraction form
    4,162.86/6,245.91 = 1,566/x
  3. Step 3: Cross multiply
    4,162.86x = 6,245.91 × 1,566
  4. Step 4: Simplify right side
    4,162.86x = 9,781,095.06
  5. Step 5: Solve for x
    x = 9,781,095.06/4,162.86
  6. Step 6: Final answer
    x = 2,349.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.