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Finding the Fourth Proportional to 20,870, 28,800.60 and 12,038

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Solution

The fourth proportional to 20,870, 28,800.60 and 12,038 is: 16,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870 : 28,800.60 = 12,038 : x
  2. Step 2: Convert to fraction form
    20,870/28,800.60 = 12,038/x
  3. Step 3: Cross multiply
    20,870x = 28,800.60 × 12,038
  4. Step 4: Simplify right side
    20,870x = 346,701,622.80
  5. Step 5: Solve for x
    x = 346,701,622.80/20,870
  6. Step 6: Final answer
    x = 16,612.44

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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.