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Finding the Fourth Proportional to 5,847.60, 8,749.80 and 5,329.20

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Solution

The fourth proportional to 5,847.60, 8,749.80 and 5,329.20 is: 7,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.60 : 8,749.80 = 5,329.20 : x
  2. Step 2: Convert to fraction form
    5,847.60/8,749.80 = 5,329.20/x
  3. Step 3: Cross multiply
    5,847.60x = 8,749.80 × 5,329.20
  4. Step 4: Simplify right side
    5,847.60x = 46,629,434.16
  5. Step 5: Solve for x
    x = 46,629,434.16/5,847.60
  6. Step 6: Final answer
    x = 7,974.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.