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Finding the Fourth Proportional to 6,670.02, 10,005.20 and 3,159.20

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Solution

The fourth proportional to 6,670.02, 10,005.20 and 3,159.20 is: 4,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.02 : 10,005.20 = 3,159.20 : x
  2. Step 2: Convert to fraction form
    6,670.02/10,005.20 = 3,159.20/x
  3. Step 3: Cross multiply
    6,670.02x = 10,005.20 × 3,159.20
  4. Step 4: Simplify right side
    6,670.02x = 31,608,427.84
  5. Step 5: Solve for x
    x = 31,608,427.84/6,670.02
  6. Step 6: Final answer
    x = 4,738.88

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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.