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Finding the Fourth Proportional to 2,520, 3,478.32 and 2,226.24

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Solution

The fourth proportional to 2,520, 3,478.32 and 2,226.24 is: 3,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520 : 3,478.32 = 2,226.24 : x
  2. Step 2: Convert to fraction form
    2,520/3,478.32 = 2,226.24/x
  3. Step 3: Cross multiply
    2,520x = 3,478.32 × 2,226.24
  4. Step 4: Simplify right side
    2,520x = 7,743,575.12
  5. Step 5: Solve for x
    x = 7,743,575.12/2,520
  6. Step 6: Final answer
    x = 3,072.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.