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Finding the Fourth Proportional to 20,855.69, 31,280.28 and 6,815.61

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Solution

The fourth proportional to 20,855.69, 31,280.28 and 6,815.61 is: 10,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.69 : 31,280.28 = 6,815.61 : x
  2. Step 2: Convert to fraction form
    20,855.69/31,280.28 = 6,815.61/x
  3. Step 3: Cross multiply
    20,855.69x = 31,280.28 × 6,815.61
  4. Step 4: Simplify right side
    20,855.69x = 213,194,152.19
  5. Step 5: Solve for x
    x = 213,194,152.19/20,855.69
  6. Step 6: Final answer
    x = 10,222.35

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1.5x scale

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.