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Finding the Fourth Proportional to 20,802.72, 31,206 and 6,953.76

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Solution

The fourth proportional to 20,802.72, 31,206 and 6,953.76 is: 10,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.72 : 31,206 = 6,953.76 : x
  2. Step 2: Convert to fraction form
    20,802.72/31,206 = 6,953.76/x
  3. Step 3: Cross multiply
    20,802.72x = 31,206 × 6,953.76
  4. Step 4: Simplify right side
    20,802.72x = 216,999,034.56
  5. Step 5: Solve for x
    x = 216,999,034.56/20,802.72
  6. Step 6: Final answer
    x = 10,431.28

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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.