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Finding the Fourth Proportional to 4,239.75, 5,847.06 and 2,746.20

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Solution

The fourth proportional to 4,239.75, 5,847.06 and 2,746.20 is: 3,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.75 : 5,847.06 = 2,746.20 : x
  2. Step 2: Convert to fraction form
    4,239.75/5,847.06 = 2,746.20/x
  3. Step 3: Cross multiply
    4,239.75x = 5,847.06 × 2,746.20
  4. Step 4: Simplify right side
    4,239.75x = 16,057,196.17
  5. Step 5: Solve for x
    x = 16,057,196.17/4,239.75
  6. Step 6: Final answer
    x = 3,787.30

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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.