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Finding the Fourth Proportional to 6,992.47, 9,649.60 and 3,848.64

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Solution

The fourth proportional to 6,992.47, 9,649.60 and 3,848.64 is: 5,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.47 : 9,649.60 = 3,848.64 : x
  2. Step 2: Convert to fraction form
    6,992.47/9,649.60 = 3,848.64/x
  3. Step 3: Cross multiply
    6,992.47x = 9,649.60 × 3,848.64
  4. Step 4: Simplify right side
    6,992.47x = 37,137,836.54
  5. Step 5: Solve for x
    x = 37,137,836.54/6,992.47
  6. Step 6: Final answer
    x = 5,311.12

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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.