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Finding the Fourth Proportional to 7,763, 10,713.58 and 4,451.64

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Solution

The fourth proportional to 7,763, 10,713.58 and 4,451.64 is: 6,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763 : 10,713.58 = 4,451.64 : x
  2. Step 2: Convert to fraction form
    7,763/10,713.58 = 4,451.64/x
  3. Step 3: Cross multiply
    7,763x = 10,713.58 × 4,451.64
  4. Step 4: Simplify right side
    7,763x = 47,693,001.27
  5. Step 5: Solve for x
    x = 47,693,001.27/7,763
  6. Step 6: Final answer
    x = 6,143.63

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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.