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Finding the Fourth Proportional to 5,817.60, 8,723.84 and 1,712.64

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Solution

The fourth proportional to 5,817.60, 8,723.84 and 1,712.64 is: 2,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.60 : 8,723.84 = 1,712.64 : x
  2. Step 2: Convert to fraction form
    5,817.60/8,723.84 = 1,712.64/x
  3. Step 3: Cross multiply
    5,817.60x = 8,723.84 × 1,712.64
  4. Step 4: Simplify right side
    5,817.60x = 14,940,797.34
  5. Step 5: Solve for x
    x = 14,940,797.34/5,817.60
  6. Step 6: Final answer
    x = 2,568.21

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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.