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Finding the Fourth Proportional to 51,579, 77,373 and 14,643

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Solution

The fourth proportional to 51,579, 77,373 and 14,643 is: 21,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,579 : 77,373 = 14,643 : x
  2. Step 2: Convert to fraction form
    51,579/77,373 = 14,643/x
  3. Step 3: Cross multiply
    51,579x = 77,373 × 14,643
  4. Step 4: Simplify right side
    51,579x = 1,132,972,839
  5. Step 5: Solve for x
    x = 1,132,972,839/51,579
  6. Step 6: Final answer
    x = 21,965.78

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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.