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Finding the Fourth Proportional to 7,782.38, 10,738.86 and 4,799.55

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Solution

The fourth proportional to 7,782.38, 10,738.86 and 4,799.55 is: 6,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.38 : 10,738.86 = 4,799.55 : x
  2. Step 2: Convert to fraction form
    7,782.38/10,738.86 = 4,799.55/x
  3. Step 3: Cross multiply
    7,782.38x = 10,738.86 × 4,799.55
  4. Step 4: Simplify right side
    7,782.38x = 51,541,695.51
  5. Step 5: Solve for x
    x = 51,541,695.51/7,782.38
  6. Step 6: Final answer
    x = 6,622.87

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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.