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Finding the Fourth Proportional to 10,152.54, 15,219.90 and 5,219.64

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Solution

The fourth proportional to 10,152.54, 15,219.90 and 5,219.64 is: 7,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.54 : 15,219.90 = 5,219.64 : x
  2. Step 2: Convert to fraction form
    10,152.54/15,219.90 = 5,219.64/x
  3. Step 3: Cross multiply
    10,152.54x = 15,219.90 × 5,219.64
  4. Step 4: Simplify right side
    10,152.54x = 79,442,398.84
  5. Step 5: Solve for x
    x = 79,442,398.84/10,152.54
  6. Step 6: Final answer
    x = 7,824.88

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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.