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Finding the Fourth Proportional to 22,130, 30,539.40 and 12,194

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Solution

The fourth proportional to 22,130, 30,539.40 and 12,194 is: 16,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130 : 30,539.40 = 12,194 : x
  2. Step 2: Convert to fraction form
    22,130/30,539.40 = 12,194/x
  3. Step 3: Cross multiply
    22,130x = 30,539.40 × 12,194
  4. Step 4: Simplify right side
    22,130x = 372,397,443.60
  5. Step 5: Solve for x
    x = 372,397,443.60/22,130
  6. Step 6: Final answer
    x = 16,827.72

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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.