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Finding the Fourth Proportional to 3,106.73, 4,659.15 and 1,720.73

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Solution

The fourth proportional to 3,106.73, 4,659.15 and 1,720.73 is: 2,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.73 : 4,659.15 = 1,720.73 : x
  2. Step 2: Convert to fraction form
    3,106.73/4,659.15 = 1,720.73/x
  3. Step 3: Cross multiply
    3,106.73x = 4,659.15 × 1,720.73
  4. Step 4: Simplify right side
    3,106.73x = 8,017,139.18
  5. Step 5: Solve for x
    x = 8,017,139.18/3,106.73
  6. Step 6: Final answer
    x = 2,580.57

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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.