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Finding the Fourth Proportional to 7,158.54, 10,736.04 and 2,478.70

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Solution

The fourth proportional to 7,158.54, 10,736.04 and 2,478.70 is: 3,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.54 : 10,736.04 = 2,478.70 : x
  2. Step 2: Convert to fraction form
    7,158.54/10,736.04 = 2,478.70/x
  3. Step 3: Cross multiply
    7,158.54x = 10,736.04 × 2,478.70
  4. Step 4: Simplify right side
    7,158.54x = 26,611,445.06
  5. Step 5: Solve for x
    x = 26,611,445.06/7,158.54
  6. Step 6: Final answer
    x = 3,717.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.