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Finding the Fourth Proportional to 20,807.24, 31,204.38 and 6,953

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Solution

The fourth proportional to 20,807.24, 31,204.38 and 6,953 is: 10,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.24 : 31,204.38 = 6,953 : x
  2. Step 2: Convert to fraction form
    20,807.24/31,204.38 = 6,953/x
  3. Step 3: Cross multiply
    20,807.24x = 31,204.38 × 6,953
  4. Step 4: Simplify right side
    20,807.24x = 216,964,054.14
  5. Step 5: Solve for x
    x = 216,964,054.14/20,807.24
  6. Step 6: Final answer
    x = 10,427.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.