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Finding the Fourth Proportional to 5,264.67, 7,894.10 and 2,143.88

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Solution

The fourth proportional to 5,264.67, 7,894.10 and 2,143.88 is: 3,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.67 : 7,894.10 = 2,143.88 : x
  2. Step 2: Convert to fraction form
    5,264.67/7,894.10 = 2,143.88/x
  3. Step 3: Cross multiply
    5,264.67x = 7,894.10 × 2,143.88
  4. Step 4: Simplify right side
    5,264.67x = 16,924,003.11
  5. Step 5: Solve for x
    x = 16,924,003.11/5,264.67
  6. Step 6: Final answer
    x = 3,214.64

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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.