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Finding the Fourth Proportional to 22,020, 30,387.60 and 12,084

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Solution

The fourth proportional to 22,020, 30,387.60 and 12,084 is: 16,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,020 : 30,387.60 = 12,084 : x
  2. Step 2: Convert to fraction form
    22,020/30,387.60 = 12,084/x
  3. Step 3: Cross multiply
    22,020x = 30,387.60 × 12,084
  4. Step 4: Simplify right side
    22,020x = 367,203,758.40
  5. Step 5: Solve for x
    x = 367,203,758.40/22,020
  6. Step 6: Final answer
    x = 16,675.92

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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.