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Finding the Fourth Proportional to 30,986.65, 46,447.48 and 15,169.87

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Solution

The fourth proportional to 30,986.65, 46,447.48 and 15,169.87 is: 22,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.65 : 46,447.48 = 15,169.87 : x
  2. Step 2: Convert to fraction form
    30,986.65/46,447.48 = 15,169.87/x
  3. Step 3: Cross multiply
    30,986.65x = 46,447.48 × 15,169.87
  4. Step 4: Simplify right side
    30,986.65x = 704,602,233.43
  5. Step 5: Solve for x
    x = 704,602,233.43/30,986.65
  6. Step 6: Final answer
    x = 22,738.90

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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.