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Finding the Fourth Proportional to 21,169.72, 31,731.73 and 9,312.94

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Solution

The fourth proportional to 21,169.72, 31,731.73 and 9,312.94 is: 13,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.72 : 31,731.73 = 9,312.94 : x
  2. Step 2: Convert to fraction form
    21,169.72/31,731.73 = 9,312.94/x
  3. Step 3: Cross multiply
    21,169.72x = 31,731.73 × 9,312.94
  4. Step 4: Simplify right side
    21,169.72x = 295,515,766.35
  5. Step 5: Solve for x
    x = 295,515,766.35/21,169.72
  6. Step 6: Final answer
    x = 13,959.36

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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.