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Finding the Fourth Proportional to 19,077.70, 28,611.43 and 7,982.10

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Solution

The fourth proportional to 19,077.70, 28,611.43 and 7,982.10 is: 11,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.70 : 28,611.43 = 7,982.10 : x
  2. Step 2: Convert to fraction form
    19,077.70/28,611.43 = 7,982.10/x
  3. Step 3: Cross multiply
    19,077.70x = 28,611.43 × 7,982.10
  4. Step 4: Simplify right side
    19,077.70x = 228,379,295.40
  5. Step 5: Solve for x
    x = 228,379,295.40/19,077.70
  6. Step 6: Final answer
    x = 11,971.01

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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.