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Finding the Fourth Proportional to 11,454.64, 17,178.31 and 3,661.63

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Solution

The fourth proportional to 11,454.64, 17,178.31 and 3,661.63 is: 5,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.64 : 17,178.31 = 3,661.63 : x
  2. Step 2: Convert to fraction form
    11,454.64/17,178.31 = 3,661.63/x
  3. Step 3: Cross multiply
    11,454.64x = 17,178.31 × 3,661.63
  4. Step 4: Simplify right side
    11,454.64x = 62,900,615.25
  5. Step 5: Solve for x
    x = 62,900,615.25/11,454.64
  6. Step 6: Final answer
    x = 5,491.28

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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.