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Finding the Fourth Proportional to 13,664, 20,496 and 4,430

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Solution

The fourth proportional to 13,664, 20,496 and 4,430 is: 6,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 20,496 = 4,430 : x
  2. Step 2: Convert to fraction form
    13,664/20,496 = 4,430/x
  3. Step 3: Cross multiply
    13,664x = 20,496 × 4,430
  4. Step 4: Simplify right side
    13,664x = 90,797,280
  5. Step 5: Solve for x
    x = 90,797,280/13,664
  6. Step 6: Final answer
    x = 6,645

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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.