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Finding the Fourth Proportional to 13,049.84, 19,575.95 and 3,689.99

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Solution

The fourth proportional to 13,049.84, 19,575.95 and 3,689.99 is: 5,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.84 : 19,575.95 = 3,689.99 : x
  2. Step 2: Convert to fraction form
    13,049.84/19,575.95 = 3,689.99/x
  3. Step 3: Cross multiply
    13,049.84x = 19,575.95 × 3,689.99
  4. Step 4: Simplify right side
    13,049.84x = 72,235,016.82
  5. Step 5: Solve for x
    x = 72,235,016.82/13,049.84
  6. Step 6: Final answer
    x = 5,535.32

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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.