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Finding the Fourth Proportional to 5,778.40, 8,667.60 and 1,883.20

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Solution

The fourth proportional to 5,778.40, 8,667.60 and 1,883.20 is: 2,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.40 : 8,667.60 = 1,883.20 : x
  2. Step 2: Convert to fraction form
    5,778.40/8,667.60 = 1,883.20/x
  3. Step 3: Cross multiply
    5,778.40x = 8,667.60 × 1,883.20
  4. Step 4: Simplify right side
    5,778.40x = 16,322,824.32
  5. Step 5: Solve for x
    x = 16,322,824.32/5,778.40
  6. Step 6: Final answer
    x = 2,824.80

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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.