Home / 2,082.04-3,120.50-1,312.76

Finding the Fourth Proportional to 2,082.04, 3,120.50 and 1,312.76

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Solution

The fourth proportional to 2,082.04, 3,120.50 and 1,312.76 is: 1,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.04 : 3,120.50 = 1,312.76 : x
  2. Step 2: Convert to fraction form
    2,082.04/3,120.50 = 1,312.76/x
  3. Step 3: Cross multiply
    2,082.04x = 3,120.50 × 1,312.76
  4. Step 4: Simplify right side
    2,082.04x = 4,096,467.58
  5. Step 5: Solve for x
    x = 4,096,467.58/2,082.04
  6. Step 6: Final answer
    x = 1,967.53

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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.