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Finding the Fourth Proportional to 2,368, 3,553.28 and 1,152

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Solution

The fourth proportional to 2,368, 3,553.28 and 1,152 is: 1,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368 : 3,553.28 = 1,152 : x
  2. Step 2: Convert to fraction form
    2,368/3,553.28 = 1,152/x
  3. Step 3: Cross multiply
    2,368x = 3,553.28 × 1,152
  4. Step 4: Simplify right side
    2,368x = 4,093,378.56
  5. Step 5: Solve for x
    x = 4,093,378.56/2,368
  6. Step 6: Final answer
    x = 1,728.62

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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.