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Finding the Fourth Proportional to 9,664.44, 13,336.14 and 5,415.16

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Solution

The fourth proportional to 9,664.44, 13,336.14 and 5,415.16 is: 7,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.44 : 13,336.14 = 5,415.16 : x
  2. Step 2: Convert to fraction form
    9,664.44/13,336.14 = 5,415.16/x
  3. Step 3: Cross multiply
    9,664.44x = 13,336.14 × 5,415.16
  4. Step 4: Simplify right side
    9,664.44x = 72,217,331.88
  5. Step 5: Solve for x
    x = 72,217,331.88/9,664.44
  6. Step 6: Final answer
    x = 7,472.48

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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.