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Finding the Fourth Proportional to 21,219.44, 31,816.74 and 6,424

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Solution

The fourth proportional to 21,219.44, 31,816.74 and 6,424 is: 9,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.44 : 31,816.74 = 6,424 : x
  2. Step 2: Convert to fraction form
    21,219.44/31,816.74 = 6,424/x
  3. Step 3: Cross multiply
    21,219.44x = 31,816.74 × 6,424
  4. Step 4: Simplify right side
    21,219.44x = 204,390,737.76
  5. Step 5: Solve for x
    x = 204,390,737.76/21,219.44
  6. Step 6: Final answer
    x = 9,632.24

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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.