Home / 2,772.26-4,156.50-923.19

Finding the Fourth Proportional to 2,772.26, 4,156.50 and 923.19

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Solution

The fourth proportional to 2,772.26, 4,156.50 and 923.19 is: 1,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.26 : 4,156.50 = 923.19 : x
  2. Step 2: Convert to fraction form
    2,772.26/4,156.50 = 923.19/x
  3. Step 3: Cross multiply
    2,772.26x = 4,156.50 × 923.19
  4. Step 4: Simplify right side
    2,772.26x = 3,837,239.24
  5. Step 5: Solve for x
    x = 3,837,239.24/2,772.26
  6. Step 6: Final answer
    x = 1,384.16

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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.