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Finding the Fourth Proportional to 22,356.64, 30,852 and 12,147.58

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Solution

The fourth proportional to 22,356.64, 30,852 and 12,147.58 is: 16,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.64 : 30,852 = 12,147.58 : x
  2. Step 2: Convert to fraction form
    22,356.64/30,852 = 12,147.58/x
  3. Step 3: Cross multiply
    22,356.64x = 30,852 × 12,147.58
  4. Step 4: Simplify right side
    22,356.64x = 374,777,138.16
  5. Step 5: Solve for x
    x = 374,777,138.16/22,356.64
  6. Step 6: Final answer
    x = 16,763.57

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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.