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Finding the Fourth Proportional to 15,847.87, 21,870.40 and 8,678.09

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Solution

The fourth proportional to 15,847.87, 21,870.40 and 8,678.09 is: 11,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.87 : 21,870.40 = 8,678.09 : x
  2. Step 2: Convert to fraction form
    15,847.87/21,870.40 = 8,678.09/x
  3. Step 3: Cross multiply
    15,847.87x = 21,870.40 × 8,678.09
  4. Step 4: Simplify right side
    15,847.87x = 189,793,299.54
  5. Step 5: Solve for x
    x = 189,793,299.54/15,847.87
  6. Step 6: Final answer
    x = 11,975.95

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1.5x scale

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.