Home / 2,123.10-3,184.65-1,431.90

Finding the Fourth Proportional to 2,123.10, 3,184.65 and 1,431.90

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Solution

The fourth proportional to 2,123.10, 3,184.65 and 1,431.90 is: 2,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.10 : 3,184.65 = 1,431.90 : x
  2. Step 2: Convert to fraction form
    2,123.10/3,184.65 = 1,431.90/x
  3. Step 3: Cross multiply
    2,123.10x = 3,184.65 × 1,431.90
  4. Step 4: Simplify right side
    2,123.10x = 4,560,100.34
  5. Step 5: Solve for x
    x = 4,560,100.34/2,123.10
  6. Step 6: Final answer
    x = 2,147.85

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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.