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Finding the Fourth Proportional to 20,893.94, 31,333.06 and 8,409.74

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Solution

The fourth proportional to 20,893.94, 31,333.06 and 8,409.74 is: 12,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.94 : 31,333.06 = 8,409.74 : x
  2. Step 2: Convert to fraction form
    20,893.94/31,333.06 = 8,409.74/x
  3. Step 3: Cross multiply
    20,893.94x = 31,333.06 × 8,409.74
  4. Step 4: Simplify right side
    20,893.94x = 263,502,888.00
  5. Step 5: Solve for x
    x = 263,502,888.00/20,893.94
  6. Step 6: Final answer
    x = 12,611.45

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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.