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Finding the Fourth Proportional to 20,804.72, 31,209 and 6,955.76

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Solution

The fourth proportional to 20,804.72, 31,209 and 6,955.76 is: 10,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.72 : 31,209 = 6,955.76 : x
  2. Step 2: Convert to fraction form
    20,804.72/31,209 = 6,955.76/x
  3. Step 3: Cross multiply
    20,804.72x = 31,209 × 6,955.76
  4. Step 4: Simplify right side
    20,804.72x = 217,082,313.84
  5. Step 5: Solve for x
    x = 217,082,313.84/20,804.72
  6. Step 6: Final answer
    x = 10,434.28

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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.