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Finding the Fourth Proportional to 11,753.64, 16,220.16 and 6,718.56

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Solution

The fourth proportional to 11,753.64, 16,220.16 and 6,718.56 is: 9,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.64 : 16,220.16 = 6,718.56 : x
  2. Step 2: Convert to fraction form
    11,753.64/16,220.16 = 6,718.56/x
  3. Step 3: Cross multiply
    11,753.64x = 16,220.16 × 6,718.56
  4. Step 4: Simplify right side
    11,753.64x = 108,976,118.17
  5. Step 5: Solve for x
    x = 108,976,118.17/11,753.64
  6. Step 6: Final answer
    x = 9,271.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.