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Finding the Fourth Proportional to 19,971.75, 29,957.63 and 6,120.75

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Solution

The fourth proportional to 19,971.75, 29,957.63 and 6,120.75 is: 9,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.75 : 29,957.63 = 6,120.75 : x
  2. Step 2: Convert to fraction form
    19,971.75/29,957.63 = 6,120.75/x
  3. Step 3: Cross multiply
    19,971.75x = 29,957.63 × 6,120.75
  4. Step 4: Simplify right side
    19,971.75x = 183,363,163.82
  5. Step 5: Solve for x
    x = 183,363,163.82/19,971.75
  6. Step 6: Final answer
    x = 9,181.13

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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.