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Finding the Fourth Proportional to 10,402.12, 15,608.40 and 4,166.64

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Solution

The fourth proportional to 10,402.12, 15,608.40 and 4,166.64 is: 6,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.12 : 15,608.40 = 4,166.64 : x
  2. Step 2: Convert to fraction form
    10,402.12/15,608.40 = 4,166.64/x
  3. Step 3: Cross multiply
    10,402.12x = 15,608.40 × 4,166.64
  4. Step 4: Simplify right side
    10,402.12x = 65,034,568.15
  5. Step 5: Solve for x
    x = 65,034,568.15/10,402.12
  6. Step 6: Final answer
    x = 6,252.05

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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.