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Finding the Fourth Proportional to 11,153.85, 16,718.06 and 5,302.17

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Solution

The fourth proportional to 11,153.85, 16,718.06 and 5,302.17 is: 7,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.85 : 16,718.06 = 5,302.17 : x
  2. Step 2: Convert to fraction form
    11,153.85/16,718.06 = 5,302.17/x
  3. Step 3: Cross multiply
    11,153.85x = 16,718.06 × 5,302.17
  4. Step 4: Simplify right side
    11,153.85x = 88,641,969.68
  5. Step 5: Solve for x
    x = 88,641,969.68/11,153.85
  6. Step 6: Final answer
    x = 7,947.21

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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.