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Finding the Fourth Proportional to 22,038, 30,412.44 and 12,102

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Solution

The fourth proportional to 22,038, 30,412.44 and 12,102 is: 16,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038 : 30,412.44 = 12,102 : x
  2. Step 2: Convert to fraction form
    22,038/30,412.44 = 12,102/x
  3. Step 3: Cross multiply
    22,038x = 30,412.44 × 12,102
  4. Step 4: Simplify right side
    22,038x = 368,051,348.88
  5. Step 5: Solve for x
    x = 368,051,348.88/22,038
  6. Step 6: Final answer
    x = 16,700.76

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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.