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Finding the Fourth Proportional to 4,848, 6,687.12 and 3,168.96

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Solution

The fourth proportional to 4,848, 6,687.12 and 3,168.96 is: 4,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848 : 6,687.12 = 3,168.96 : x
  2. Step 2: Convert to fraction form
    4,848/6,687.12 = 3,168.96/x
  3. Step 3: Cross multiply
    4,848x = 6,687.12 × 3,168.96
  4. Step 4: Simplify right side
    4,848x = 21,191,215.80
  5. Step 5: Solve for x
    x = 21,191,215.80/4,848
  6. Step 6: Final answer
    x = 4,371.13

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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.