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Finding the Fourth Proportional to 6,378.68, 8,782.62 and 5,795.48

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Solution

The fourth proportional to 6,378.68, 8,782.62 and 5,795.48 is: 7,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.68 : 8,782.62 = 5,795.48 : x
  2. Step 2: Convert to fraction form
    6,378.68/8,782.62 = 5,795.48/x
  3. Step 3: Cross multiply
    6,378.68x = 8,782.62 × 5,795.48
  4. Step 4: Simplify right side
    6,378.68x = 50,899,498.56
  5. Step 5: Solve for x
    x = 50,899,498.56/6,378.68
  6. Step 6: Final answer
    x = 7,979.63

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1.5x scale

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.