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Finding the Fourth Proportional to 16,128.20, 22,255.38 and 9,053

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Solution

The fourth proportional to 16,128.20, 22,255.38 and 9,053 is: 12,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.20 : 22,255.38 = 9,053 : x
  2. Step 2: Convert to fraction form
    16,128.20/22,255.38 = 9,053/x
  3. Step 3: Cross multiply
    16,128.20x = 22,255.38 × 9,053
  4. Step 4: Simplify right side
    16,128.20x = 201,477,955.14
  5. Step 5: Solve for x
    x = 201,477,955.14/16,128.20
  6. Step 6: Final answer
    x = 12,492.28

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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.