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Finding the Fourth Proportional to 5,230.20, 7,856.10 and 5,046.60

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Solution

The fourth proportional to 5,230.20, 7,856.10 and 5,046.60 is: 7,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.20 : 7,856.10 = 5,046.60 : x
  2. Step 2: Convert to fraction form
    5,230.20/7,856.10 = 5,046.60/x
  3. Step 3: Cross multiply
    5,230.20x = 7,856.10 × 5,046.60
  4. Step 4: Simplify right side
    5,230.20x = 39,646,594.26
  5. Step 5: Solve for x
    x = 39,646,594.26/5,230.20
  6. Step 6: Final answer
    x = 7,580.32

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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.