Home / 2,125.96-3,184.82-1,688.02

Finding the Fourth Proportional to 2,125.96, 3,184.82 and 1,688.02

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Solution

The fourth proportional to 2,125.96, 3,184.82 and 1,688.02 is: 2,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.96 : 3,184.82 = 1,688.02 : x
  2. Step 2: Convert to fraction form
    2,125.96/3,184.82 = 1,688.02/x
  3. Step 3: Cross multiply
    2,125.96x = 3,184.82 × 1,688.02
  4. Step 4: Simplify right side
    2,125.96x = 5,376,031.42
  5. Step 5: Solve for x
    x = 5,376,031.42/2,125.96
  6. Step 6: Final answer
    x = 2,528.75

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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.