Home / 5,214.86-7,823.61-1,517

Finding the Fourth Proportional to 5,214.86, 7,823.61 and 1,517

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Solution

The fourth proportional to 5,214.86, 7,823.61 and 1,517 is: 2,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.86 : 7,823.61 = 1,517 : x
  2. Step 2: Convert to fraction form
    5,214.86/7,823.61 = 1,517/x
  3. Step 3: Cross multiply
    5,214.86x = 7,823.61 × 1,517
  4. Step 4: Simplify right side
    5,214.86x = 11,868,416.37
  5. Step 5: Solve for x
    x = 11,868,416.37/5,214.86
  6. Step 6: Final answer
    x = 2,275.88

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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.