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Finding the Fourth Proportional to 13,972.95, 20,969.94 and 7,400.61

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Solution

The fourth proportional to 13,972.95, 20,969.94 and 7,400.61 is: 11,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.95 : 20,969.94 = 7,400.61 : x
  2. Step 2: Convert to fraction form
    13,972.95/20,969.94 = 7,400.61/x
  3. Step 3: Cross multiply
    13,972.95x = 20,969.94 × 7,400.61
  4. Step 4: Simplify right side
    13,972.95x = 155,190,347.66
  5. Step 5: Solve for x
    x = 155,190,347.66/13,972.95
  6. Step 6: Final answer
    x = 11,106.48

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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.