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Finding the Fourth Proportional to 6,112, 8,430.72 and 4,872.96

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Solution

The fourth proportional to 6,112, 8,430.72 and 4,872.96 is: 6,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112 : 8,430.72 = 4,872.96 : x
  2. Step 2: Convert to fraction form
    6,112/8,430.72 = 4,872.96/x
  3. Step 3: Cross multiply
    6,112x = 8,430.72 × 4,872.96
  4. Step 4: Simplify right side
    6,112x = 41,082,561.33
  5. Step 5: Solve for x
    x = 41,082,561.33/6,112
  6. Step 6: Final answer
    x = 6,721.62

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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.