Home / 2,416.16-3,624.81-772.72

Finding the Fourth Proportional to 2,416.16, 3,624.81 and 772.72

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Solution

The fourth proportional to 2,416.16, 3,624.81 and 772.72 is: 1,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.16 : 3,624.81 = 772.72 : x
  2. Step 2: Convert to fraction form
    2,416.16/3,624.81 = 772.72/x
  3. Step 3: Cross multiply
    2,416.16x = 3,624.81 × 772.72
  4. Step 4: Simplify right side
    2,416.16x = 2,800,977.05
  5. Step 5: Solve for x
    x = 2,800,977.05/2,416.16
  6. Step 6: Final answer
    x = 1,159.27

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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.