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Finding the Fourth Proportional to 13,700.39, 20,538 and 4,933.17

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Solution

The fourth proportional to 13,700.39, 20,538 and 4,933.17 is: 7,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.39 : 20,538 = 4,933.17 : x
  2. Step 2: Convert to fraction form
    13,700.39/20,538 = 4,933.17/x
  3. Step 3: Cross multiply
    13,700.39x = 20,538 × 4,933.17
  4. Step 4: Simplify right side
    13,700.39x = 101,317,445.46
  5. Step 5: Solve for x
    x = 101,317,445.46/13,700.39
  6. Step 6: Final answer
    x = 7,395.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.