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Finding the Fourth Proportional to 3,143.77, 4,712.04 and 1,757.74

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Solution

The fourth proportional to 3,143.77, 4,712.04 and 1,757.74 is: 2,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.77 : 4,712.04 = 1,757.74 : x
  2. Step 2: Convert to fraction form
    3,143.77/4,712.04 = 1,757.74/x
  3. Step 3: Cross multiply
    3,143.77x = 4,712.04 × 1,757.74
  4. Step 4: Simplify right side
    3,143.77x = 8,282,541.19
  5. Step 5: Solve for x
    x = 8,282,541.19/3,143.77
  6. Step 6: Final answer
    x = 2,634.59

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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.