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Finding the Fourth Proportional to 7,680, 11,526.48 and 3,063

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Solution

The fourth proportional to 7,680, 11,526.48 and 3,063 is: 4,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680 : 11,526.48 = 3,063 : x
  2. Step 2: Convert to fraction form
    7,680/11,526.48 = 3,063/x
  3. Step 3: Cross multiply
    7,680x = 11,526.48 × 3,063
  4. Step 4: Simplify right side
    7,680x = 35,305,608.24
  5. Step 5: Solve for x
    x = 35,305,608.24/7,680
  6. Step 6: Final answer
    x = 4,597.08

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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.