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Finding the Fourth Proportional to 13,599.94, 20,400 and 3,740.26

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Solution

The fourth proportional to 13,599.94, 20,400 and 3,740.26 is: 5,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.94 : 20,400 = 3,740.26 : x
  2. Step 2: Convert to fraction form
    13,599.94/20,400 = 3,740.26/x
  3. Step 3: Cross multiply
    13,599.94x = 20,400 × 3,740.26
  4. Step 4: Simplify right side
    13,599.94x = 76,301,304
  5. Step 5: Solve for x
    x = 76,301,304/13,599.94
  6. Step 6: Final answer
    x = 5,610.41

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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.