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Finding the Fourth Proportional to 4,143.56, 5,718.06 and 3,086.06

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Solution

The fourth proportional to 4,143.56, 5,718.06 and 3,086.06 is: 4,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.56 : 5,718.06 = 3,086.06 : x
  2. Step 2: Convert to fraction form
    4,143.56/5,718.06 = 3,086.06/x
  3. Step 3: Cross multiply
    4,143.56x = 5,718.06 × 3,086.06
  4. Step 4: Simplify right side
    4,143.56x = 17,646,276.24
  5. Step 5: Solve for x
    x = 17,646,276.24/4,143.56
  6. Step 6: Final answer
    x = 4,258.72

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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.