Home / 5,142.32-7,712.86-2,181.90

Finding the Fourth Proportional to 5,142.32, 7,712.86 and 2,181.90

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Solution

The fourth proportional to 5,142.32, 7,712.86 and 2,181.90 is: 3,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.32 : 7,712.86 = 2,181.90 : x
  2. Step 2: Convert to fraction form
    5,142.32/7,712.86 = 2,181.90/x
  3. Step 3: Cross multiply
    5,142.32x = 7,712.86 × 2,181.90
  4. Step 4: Simplify right side
    5,142.32x = 16,828,689.23
  5. Step 5: Solve for x
    x = 16,828,689.23/5,142.32
  6. Step 6: Final answer
    x = 3,272.59

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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.