Home / 2,821.12-4,231.84-972.44

Finding the Fourth Proportional to 2,821.12, 4,231.84 and 972.44

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Solution

The fourth proportional to 2,821.12, 4,231.84 and 972.44 is: 1,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.12 : 4,231.84 = 972.44 : x
  2. Step 2: Convert to fraction form
    2,821.12/4,231.84 = 972.44/x
  3. Step 3: Cross multiply
    2,821.12x = 4,231.84 × 972.44
  4. Step 4: Simplify right side
    2,821.12x = 4,115,210.49
  5. Step 5: Solve for x
    x = 4,115,210.49/2,821.12
  6. Step 6: Final answer
    x = 1,458.72

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1.5x scale

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.