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Finding the Fourth Proportional to 11,753.84, 16,220.28 and 6,448.64

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Solution

The fourth proportional to 11,753.84, 16,220.28 and 6,448.64 is: 8,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.84 : 16,220.28 = 6,448.64 : x
  2. Step 2: Convert to fraction form
    11,753.84/16,220.28 = 6,448.64/x
  3. Step 3: Cross multiply
    11,753.84x = 16,220.28 × 6,448.64
  4. Step 4: Simplify right side
    11,753.84x = 104,598,746.42
  5. Step 5: Solve for x
    x = 104,598,746.42/11,753.84
  6. Step 6: Final answer
    x = 8,899.11

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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.