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Finding the Fourth Proportional to 5,783.12, 8,679 and 3,188.24

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Solution

The fourth proportional to 5,783.12, 8,679 and 3,188.24 is: 4,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.12 : 8,679 = 3,188.24 : x
  2. Step 2: Convert to fraction form
    5,783.12/8,679 = 3,188.24/x
  3. Step 3: Cross multiply
    5,783.12x = 8,679 × 3,188.24
  4. Step 4: Simplify right side
    5,783.12x = 27,670,734.96
  5. Step 5: Solve for x
    x = 27,670,734.96/5,783.12
  6. Step 6: Final answer
    x = 4,784.74

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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.