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Finding the Fourth Proportional to 11,772.72, 17,657.49 and 4,376.16

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Solution

The fourth proportional to 11,772.72, 17,657.49 and 4,376.16 is: 6,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.72 : 17,657.49 = 4,376.16 : x
  2. Step 2: Convert to fraction form
    11,772.72/17,657.49 = 4,376.16/x
  3. Step 3: Cross multiply
    11,772.72x = 17,657.49 × 4,376.16
  4. Step 4: Simplify right side
    11,772.72x = 77,271,913.15
  5. Step 5: Solve for x
    x = 77,271,913.15/11,772.72
  6. Step 6: Final answer
    x = 6,563.64

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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.