Home / 1,580.08-2,371.20-1,513.12

Finding the Fourth Proportional to 1,580.08, 2,371.20 and 1,513.12

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Solution

The fourth proportional to 1,580.08, 2,371.20 and 1,513.12 is: 2,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.08 : 2,371.20 = 1,513.12 : x
  2. Step 2: Convert to fraction form
    1,580.08/2,371.20 = 1,513.12/x
  3. Step 3: Cross multiply
    1,580.08x = 2,371.20 × 1,513.12
  4. Step 4: Simplify right side
    1,580.08x = 3,587,910.14
  5. Step 5: Solve for x
    x = 3,587,910.14/1,580.08
  6. Step 6: Final answer
    x = 2,270.71

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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.