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Finding the Fourth Proportional to 6,402.10, 9,603.15 and 3,121.60

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Solution

The fourth proportional to 6,402.10, 9,603.15 and 3,121.60 is: 4,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.10 : 9,603.15 = 3,121.60 : x
  2. Step 2: Convert to fraction form
    6,402.10/9,603.15 = 3,121.60/x
  3. Step 3: Cross multiply
    6,402.10x = 9,603.15 × 3,121.60
  4. Step 4: Simplify right side
    6,402.10x = 29,977,193.04
  5. Step 5: Solve for x
    x = 29,977,193.04/6,402.10
  6. Step 6: Final answer
    x = 4,682.40

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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.