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Finding the Fourth Proportional to 6,922.82, 10,421.63 and 6,320.18

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Solution

The fourth proportional to 6,922.82, 10,421.63 and 6,320.18 is: 9,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.82 : 10,421.63 = 6,320.18 : x
  2. Step 2: Convert to fraction form
    6,922.82/10,421.63 = 6,320.18/x
  3. Step 3: Cross multiply
    6,922.82x = 10,421.63 × 6,320.18
  4. Step 4: Simplify right side
    6,922.82x = 65,866,493.78
  5. Step 5: Solve for x
    x = 65,866,493.78/6,922.82
  6. Step 6: Final answer
    x = 9,514.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.