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Finding the Fourth Proportional to 19,980.79, 29,971.17 and 5,940.75

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Solution

The fourth proportional to 19,980.79, 29,971.17 and 5,940.75 is: 8,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.79 : 29,971.17 = 5,940.75 : x
  2. Step 2: Convert to fraction form
    19,980.79/29,971.17 = 5,940.75/x
  3. Step 3: Cross multiply
    19,980.79x = 29,971.17 × 5,940.75
  4. Step 4: Simplify right side
    19,980.79x = 178,051,228.18
  5. Step 5: Solve for x
    x = 178,051,228.18/19,980.79
  6. Step 6: Final answer
    x = 8,911.12

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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.