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Finding the Fourth Proportional to 27,679, 41,490.74 and 14,344.53

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Solution

The fourth proportional to 27,679, 41,490.74 and 14,344.53 is: 21,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679 : 41,490.74 = 14,344.53 : x
  2. Step 2: Convert to fraction form
    27,679/41,490.74 = 14,344.53/x
  3. Step 3: Cross multiply
    27,679x = 41,490.74 × 14,344.53
  4. Step 4: Simplify right side
    27,679x = 595,164,993.06
  5. Step 5: Solve for x
    x = 595,164,993.06/27,679
  6. Step 6: Final answer
    x = 21,502.40

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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.