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Finding the Fourth Proportional to 20,071, 30,106.50 and 5,479

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Solution

The fourth proportional to 20,071, 30,106.50 and 5,479 is: 8,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071 : 30,106.50 = 5,479 : x
  2. Step 2: Convert to fraction form
    20,071/30,106.50 = 5,479/x
  3. Step 3: Cross multiply
    20,071x = 30,106.50 × 5,479
  4. Step 4: Simplify right side
    20,071x = 164,953,513.50
  5. Step 5: Solve for x
    x = 164,953,513.50/20,071
  6. Step 6: Final answer
    x = 8,218.50

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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.