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Finding the Fourth Proportional to 5,461.90, 8,200.95 and 4,230.70

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Solution

The fourth proportional to 5,461.90, 8,200.95 and 4,230.70 is: 6,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.90 : 8,200.95 = 4,230.70 : x
  2. Step 2: Convert to fraction form
    5,461.90/8,200.95 = 4,230.70/x
  3. Step 3: Cross multiply
    5,461.90x = 8,200.95 × 4,230.70
  4. Step 4: Simplify right side
    5,461.90x = 34,695,759.17
  5. Step 5: Solve for x
    x = 34,695,759.17/5,461.90
  6. Step 6: Final answer
    x = 6,352.32

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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.