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Finding the Fourth Proportional to 4,880.89, 6,734.64 and 2,892.14

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Solution

The fourth proportional to 4,880.89, 6,734.64 and 2,892.14 is: 3,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.89 : 6,734.64 = 2,892.14 : x
  2. Step 2: Convert to fraction form
    4,880.89/6,734.64 = 2,892.14/x
  3. Step 3: Cross multiply
    4,880.89x = 6,734.64 × 2,892.14
  4. Step 4: Simplify right side
    4,880.89x = 19,477,521.73
  5. Step 5: Solve for x
    x = 19,477,521.73/4,880.89
  6. Step 6: Final answer
    x = 3,990.57

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Why These Related Problems?

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