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Finding the Fourth Proportional to 20,948, 31,422 and 6,356

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Solution

The fourth proportional to 20,948, 31,422 and 6,356 is: 9,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948 : 31,422 = 6,356 : x
  2. Step 2: Convert to fraction form
    20,948/31,422 = 6,356/x
  3. Step 3: Cross multiply
    20,948x = 31,422 × 6,356
  4. Step 4: Simplify right side
    20,948x = 199,718,232
  5. Step 5: Solve for x
    x = 199,718,232/20,948
  6. Step 6: Final answer
    x = 9,534

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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.