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Finding the Fourth Proportional to 14,662, 21,993 and 6,454

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Solution

The fourth proportional to 14,662, 21,993 and 6,454 is: 9,681

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662 : 21,993 = 6,454 : x
  2. Step 2: Convert to fraction form
    14,662/21,993 = 6,454/x
  3. Step 3: Cross multiply
    14,662x = 21,993 × 6,454
  4. Step 4: Simplify right side
    14,662x = 141,942,822
  5. Step 5: Solve for x
    x = 141,942,822/14,662
  6. Step 6: Final answer
    x = 9,681

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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.