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Finding the Fourth Proportional to 3,859.95, 5,789.43 and 1,666.86

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Solution

The fourth proportional to 3,859.95, 5,789.43 and 1,666.86 is: 2,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.95 : 5,789.43 = 1,666.86 : x
  2. Step 2: Convert to fraction form
    3,859.95/5,789.43 = 1,666.86/x
  3. Step 3: Cross multiply
    3,859.95x = 5,789.43 × 1,666.86
  4. Step 4: Simplify right side
    3,859.95x = 9,650,169.29
  5. Step 5: Solve for x
    x = 9,650,169.29/3,859.95
  6. Step 6: Final answer
    x = 2,500.08

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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.