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Finding the Fourth Proportional to 13,133.49, 18,124.13 and 7,468.24

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Solution

The fourth proportional to 13,133.49, 18,124.13 and 7,468.24 is: 10,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.49 : 18,124.13 = 7,468.24 : x
  2. Step 2: Convert to fraction form
    13,133.49/18,124.13 = 7,468.24/x
  3. Step 3: Cross multiply
    13,133.49x = 18,124.13 × 7,468.24
  4. Step 4: Simplify right side
    13,133.49x = 135,355,259.99
  5. Step 5: Solve for x
    x = 135,355,259.99/13,133.49
  6. Step 6: Final answer
    x = 10,306.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.