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Finding the Fourth Proportional to 20,803.36, 31,209.36 and 6,952

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Solution

The fourth proportional to 20,803.36, 31,209.36 and 6,952 is: 10,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.36 : 31,209.36 = 6,952 : x
  2. Step 2: Convert to fraction form
    20,803.36/31,209.36 = 6,952/x
  3. Step 3: Cross multiply
    20,803.36x = 31,209.36 × 6,952
  4. Step 4: Simplify right side
    20,803.36x = 216,967,470.72
  5. Step 5: Solve for x
    x = 216,967,470.72/20,803.36
  6. Step 6: Final answer
    x = 10,429.44

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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.