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Finding the Fourth Proportional to 20,754, 28,617.89 and 14,027.94

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Solution

The fourth proportional to 20,754, 28,617.89 and 14,027.94 is: 19,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754 : 28,617.89 = 14,027.94 : x
  2. Step 2: Convert to fraction form
    20,754/28,617.89 = 14,027.94/x
  3. Step 3: Cross multiply
    20,754x = 28,617.89 × 14,027.94
  4. Step 4: Simplify right side
    20,754x = 401,449,973.71
  5. Step 5: Solve for x
    x = 401,449,973.71/20,754
  6. Step 6: Final answer
    x = 19,343.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.