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Finding the Fourth Proportional to 7,086.88, 10,613.84 and 6,840.80

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Solution

The fourth proportional to 7,086.88, 10,613.84 and 6,840.80 is: 10,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.88 : 10,613.84 = 6,840.80 : x
  2. Step 2: Convert to fraction form
    7,086.88/10,613.84 = 6,840.80/x
  3. Step 3: Cross multiply
    7,086.88x = 10,613.84 × 6,840.80
  4. Step 4: Simplify right side
    7,086.88x = 72,607,156.67
  5. Step 5: Solve for x
    x = 72,607,156.67/7,086.88
  6. Step 6: Final answer
    x = 10,245.29

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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.