Home / 2,872.12-4,307.46-923.32

Finding the Fourth Proportional to 2,872.12, 4,307.46 and 923.32

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Solution

The fourth proportional to 2,872.12, 4,307.46 and 923.32 is: 1,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.12 : 4,307.46 = 923.32 : x
  2. Step 2: Convert to fraction form
    2,872.12/4,307.46 = 923.32/x
  3. Step 3: Cross multiply
    2,872.12x = 4,307.46 × 923.32
  4. Step 4: Simplify right side
    2,872.12x = 3,977,163.97
  5. Step 5: Solve for x
    x = 3,977,163.97/2,872.12
  6. Step 6: Final answer
    x = 1,384.75

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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.