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Finding the Fourth Proportional to 20,991.72, 31,495.79 and 7,841.02

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Solution

The fourth proportional to 20,991.72, 31,495.79 and 7,841.02 is: 11,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.72 : 31,495.79 = 7,841.02 : x
  2. Step 2: Convert to fraction form
    20,991.72/31,495.79 = 7,841.02/x
  3. Step 3: Cross multiply
    20,991.72x = 31,495.79 × 7,841.02
  4. Step 4: Simplify right side
    20,991.72x = 246,959,075.12
  5. Step 5: Solve for x
    x = 246,959,075.12/20,991.72
  6. Step 6: Final answer
    x = 11,764.59

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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.