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Finding the Fourth Proportional to 6,999.21, 10,503.24 and 6,342.42

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Solution

The fourth proportional to 6,999.21, 10,503.24 and 6,342.42 is: 9,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.21 : 10,503.24 = 6,342.42 : x
  2. Step 2: Convert to fraction form
    6,999.21/10,503.24 = 6,342.42/x
  3. Step 3: Cross multiply
    6,999.21x = 10,503.24 × 6,342.42
  4. Step 4: Simplify right side
    6,999.21x = 66,615,959.44
  5. Step 5: Solve for x
    x = 66,615,959.44/6,999.21
  6. Step 6: Final answer
    x = 9,517.64

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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.