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Finding the Fourth Proportional to 7,713.76, 10,645.04 and 4,177

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Solution

The fourth proportional to 7,713.76, 10,645.04 and 4,177 is: 5,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.76 : 10,645.04 = 4,177 : x
  2. Step 2: Convert to fraction form
    7,713.76/10,645.04 = 4,177/x
  3. Step 3: Cross multiply
    7,713.76x = 10,645.04 × 4,177
  4. Step 4: Simplify right side
    7,713.76x = 44,464,332.08
  5. Step 5: Solve for x
    x = 44,464,332.08/7,713.76
  6. Step 6: Final answer
    x = 5,764.29

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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.