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Finding the Fourth Proportional to 2,840.91, 3,920.11 and 1,645.89

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Solution

The fourth proportional to 2,840.91, 3,920.11 and 1,645.89 is: 2,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.91 : 3,920.11 = 1,645.89 : x
  2. Step 2: Convert to fraction form
    2,840.91/3,920.11 = 1,645.89/x
  3. Step 3: Cross multiply
    2,840.91x = 3,920.11 × 1,645.89
  4. Step 4: Simplify right side
    2,840.91x = 6,452,057.20
  5. Step 5: Solve for x
    x = 6,452,057.20/2,840.91
  6. Step 6: Final answer
    x = 2,271.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.