Home / 1,824.10-2,732.10-1,581.10

Finding the Fourth Proportional to 1,824.10, 2,732.10 and 1,581.10

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Solution

The fourth proportional to 1,824.10, 2,732.10 and 1,581.10 is: 2,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.10 : 2,732.10 = 1,581.10 : x
  2. Step 2: Convert to fraction form
    1,824.10/2,732.10 = 1,581.10/x
  3. Step 3: Cross multiply
    1,824.10x = 2,732.10 × 1,581.10
  4. Step 4: Simplify right side
    1,824.10x = 4,319,723.31
  5. Step 5: Solve for x
    x = 4,319,723.31/1,824.10
  6. Step 6: Final answer
    x = 2,368.14

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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.