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Finding the Fourth Proportional to 5,735.76, 8,602.78 and 1,839.64

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Solution

The fourth proportional to 5,735.76, 8,602.78 and 1,839.64 is: 2,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.76 : 8,602.78 = 1,839.64 : x
  2. Step 2: Convert to fraction form
    5,735.76/8,602.78 = 1,839.64/x
  3. Step 3: Cross multiply
    5,735.76x = 8,602.78 × 1,839.64
  4. Step 4: Simplify right side
    5,735.76x = 15,826,018.20
  5. Step 5: Solve for x
    x = 15,826,018.20/5,735.76
  6. Step 6: Final answer
    x = 2,759.18

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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.