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Finding the Fourth Proportional to 21,664, 32,496 and 5,248

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Solution

The fourth proportional to 21,664, 32,496 and 5,248 is: 7,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664 : 32,496 = 5,248 : x
  2. Step 2: Convert to fraction form
    21,664/32,496 = 5,248/x
  3. Step 3: Cross multiply
    21,664x = 32,496 × 5,248
  4. Step 4: Simplify right side
    21,664x = 170,539,008
  5. Step 5: Solve for x
    x = 170,539,008/21,664
  6. Step 6: Final answer
    x = 7,872

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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.