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Finding the Fourth Proportional to 16,128, 22,258.08 and 9,054.72

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Solution

The fourth proportional to 16,128, 22,258.08 and 9,054.72 is: 12,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128 : 22,258.08 = 9,054.72 : x
  2. Step 2: Convert to fraction form
    16,128/22,258.08 = 9,054.72/x
  3. Step 3: Cross multiply
    16,128x = 22,258.08 × 9,054.72
  4. Step 4: Simplify right side
    16,128x = 201,540,682.14
  5. Step 5: Solve for x
    x = 201,540,682.14/16,128
  6. Step 6: Final answer
    x = 12,496.32

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Why These Related Problems?

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