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Finding the Fourth Proportional to 20,578.62, 30,870.21 and 8,097

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Solution

The fourth proportional to 20,578.62, 30,870.21 and 8,097 is: 12,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.62 : 30,870.21 = 8,097 : x
  2. Step 2: Convert to fraction form
    20,578.62/30,870.21 = 8,097/x
  3. Step 3: Cross multiply
    20,578.62x = 30,870.21 × 8,097
  4. Step 4: Simplify right side
    20,578.62x = 249,956,090.37
  5. Step 5: Solve for x
    x = 249,956,090.37/20,578.62
  6. Step 6: Final answer
    x = 12,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.