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Finding the Fourth Proportional to 5,890.43, 8,128.10 and 3,500.50

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Solution

The fourth proportional to 5,890.43, 8,128.10 and 3,500.50 is: 4,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.43 : 8,128.10 = 3,500.50 : x
  2. Step 2: Convert to fraction form
    5,890.43/8,128.10 = 3,500.50/x
  3. Step 3: Cross multiply
    5,890.43x = 8,128.10 × 3,500.50
  4. Step 4: Simplify right side
    5,890.43x = 28,452,402.48
  5. Step 5: Solve for x
    x = 28,452,402.48/5,890.43
  6. Step 6: Final answer
    x = 4,830.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.