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Finding the Fourth Proportional to 13,694.93, 20,535 and 7,028.66

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Solution

The fourth proportional to 13,694.93, 20,535 and 7,028.66 is: 10,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.93 : 20,535 = 7,028.66 : x
  2. Step 2: Convert to fraction form
    13,694.93/20,535 = 7,028.66/x
  3. Step 3: Cross multiply
    13,694.93x = 20,535 × 7,028.66
  4. Step 4: Simplify right side
    13,694.93x = 144,333,533.10
  5. Step 5: Solve for x
    x = 144,333,533.10/13,694.93
  6. Step 6: Final answer
    x = 10,539.19

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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.