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Finding the Fourth Proportional to 6,782.47, 10,145.62 and 6,367.75

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Solution

The fourth proportional to 6,782.47, 10,145.62 and 6,367.75 is: 9,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.47 : 10,145.62 = 6,367.75 : x
  2. Step 2: Convert to fraction form
    6,782.47/10,145.62 = 6,367.75/x
  3. Step 3: Cross multiply
    6,782.47x = 10,145.62 × 6,367.75
  4. Step 4: Simplify right side
    6,782.47x = 64,604,771.76
  5. Step 5: Solve for x
    x = 64,604,771.76/6,782.47
  6. Step 6: Final answer
    x = 9,525.26

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1.5x scale

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.