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Finding the Fourth Proportional to 6,282.12, 8,688.12 and 5,494.80

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Solution

The fourth proportional to 6,282.12, 8,688.12 and 5,494.80 is: 7,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.12 : 8,688.12 = 5,494.80 : x
  2. Step 2: Convert to fraction form
    6,282.12/8,688.12 = 5,494.80/x
  3. Step 3: Cross multiply
    6,282.12x = 8,688.12 × 5,494.80
  4. Step 4: Simplify right side
    6,282.12x = 47,739,481.78
  5. Step 5: Solve for x
    x = 47,739,481.78/6,282.12
  6. Step 6: Final answer
    x = 7,599.26

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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.