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Finding the Fourth Proportional to 8,946.81, 13,420.22 and 2,790.81

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Solution

The fourth proportional to 8,946.81, 13,420.22 and 2,790.81 is: 4,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.81 : 13,420.22 = 2,790.81 : x
  2. Step 2: Convert to fraction form
    8,946.81/13,420.22 = 2,790.81/x
  3. Step 3: Cross multiply
    8,946.81x = 13,420.22 × 2,790.81
  4. Step 4: Simplify right side
    8,946.81x = 37,453,251.35
  5. Step 5: Solve for x
    x = 37,453,251.35/8,946.81
  6. Step 6: Final answer
    x = 4,186.21

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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.