Home / 4,216-6,315.72-3,976.24

Finding the Fourth Proportional to 4,216, 6,315.72 and 3,976.24

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Solution

The fourth proportional to 4,216, 6,315.72 and 3,976.24 is: 5,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 6,315.72 = 3,976.24 : x
  2. Step 2: Convert to fraction form
    4,216/6,315.72 = 3,976.24/x
  3. Step 3: Cross multiply
    4,216x = 6,315.72 × 3,976.24
  4. Step 4: Simplify right side
    4,216x = 25,112,818.49
  5. Step 5: Solve for x
    x = 25,112,818.49/4,216
  6. Step 6: Final answer
    x = 5,956.55

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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.