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Finding the Fourth Proportional to 5,741.72, 8,612.70 and 3,139.16

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Solution

The fourth proportional to 5,741.72, 8,612.70 and 3,139.16 is: 4,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.72 : 8,612.70 = 3,139.16 : x
  2. Step 2: Convert to fraction form
    5,741.72/8,612.70 = 3,139.16/x
  3. Step 3: Cross multiply
    5,741.72x = 8,612.70 × 3,139.16
  4. Step 4: Simplify right side
    5,741.72x = 27,036,643.33
  5. Step 5: Solve for x
    x = 27,036,643.33/5,741.72
  6. Step 6: Final answer
    x = 4,708.81

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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.