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Finding the Fourth Proportional to 4,670.56, 6,993.48 and 2,819.20

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Solution

The fourth proportional to 4,670.56, 6,993.48 and 2,819.20 is: 4,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.56 : 6,993.48 = 2,819.20 : x
  2. Step 2: Convert to fraction form
    4,670.56/6,993.48 = 2,819.20/x
  3. Step 3: Cross multiply
    4,670.56x = 6,993.48 × 2,819.20
  4. Step 4: Simplify right side
    4,670.56x = 19,716,018.82
  5. Step 5: Solve for x
    x = 19,716,018.82/4,670.56
  6. Step 6: Final answer
    x = 4,221.34

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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.