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Finding the Fourth Proportional to 11,655.50, 17,480.80 and 3,758.74

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Solution

The fourth proportional to 11,655.50, 17,480.80 and 3,758.74 is: 5,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.50 : 17,480.80 = 3,758.74 : x
  2. Step 2: Convert to fraction form
    11,655.50/17,480.80 = 3,758.74/x
  3. Step 3: Cross multiply
    11,655.50x = 17,480.80 × 3,758.74
  4. Step 4: Simplify right side
    11,655.50x = 65,705,782.19
  5. Step 5: Solve for x
    x = 65,705,782.19/11,655.50
  6. Step 6: Final answer
    x = 5,637.32

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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.