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Finding the Fourth Proportional to 3,641.83, 5,462.76 and 1,561.66

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Solution

The fourth proportional to 3,641.83, 5,462.76 and 1,561.66 is: 2,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.83 : 5,462.76 = 1,561.66 : x
  2. Step 2: Convert to fraction form
    3,641.83/5,462.76 = 1,561.66/x
  3. Step 3: Cross multiply
    3,641.83x = 5,462.76 × 1,561.66
  4. Step 4: Simplify right side
    3,641.83x = 8,530,987.92
  5. Step 5: Solve for x
    x = 8,530,987.92/3,641.83
  6. Step 6: Final answer
    x = 2,342.50

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1.5x scale

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.