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Finding the Fourth Proportional to 21,056, 31,584 and 6,464

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Solution

The fourth proportional to 21,056, 31,584 and 6,464 is: 9,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056 : 31,584 = 6,464 : x
  2. Step 2: Convert to fraction form
    21,056/31,584 = 6,464/x
  3. Step 3: Cross multiply
    21,056x = 31,584 × 6,464
  4. Step 4: Simplify right side
    21,056x = 204,158,976
  5. Step 5: Solve for x
    x = 204,158,976/21,056
  6. Step 6: Final answer
    x = 9,696

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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.