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Finding the Fourth Proportional to 6,992.28, 9,649.62 and 3,848.76

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Solution

The fourth proportional to 6,992.28, 9,649.62 and 3,848.76 is: 5,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.28 : 9,649.62 = 3,848.76 : x
  2. Step 2: Convert to fraction form
    6,992.28/9,649.62 = 3,848.76/x
  3. Step 3: Cross multiply
    6,992.28x = 9,649.62 × 3,848.76
  4. Step 4: Simplify right side
    6,992.28x = 37,139,071.47
  5. Step 5: Solve for x
    x = 37,139,071.47/6,992.28
  6. Step 6: Final answer
    x = 5,311.44

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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.