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Finding the Fourth Proportional to 19,837, 29,756.70 and 5,986.12

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Solution

The fourth proportional to 19,837, 29,756.70 and 5,986.12 is: 8,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837 : 29,756.70 = 5,986.12 : x
  2. Step 2: Convert to fraction form
    19,837/29,756.70 = 5,986.12/x
  3. Step 3: Cross multiply
    19,837x = 29,756.70 × 5,986.12
  4. Step 4: Simplify right side
    19,837x = 178,127,177.00
  5. Step 5: Solve for x
    x = 178,127,177.00/19,837
  6. Step 6: Final answer
    x = 8,979.54

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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.