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Finding the Fourth Proportional to 30,931.50, 46,404.09 and 13,161.22

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Solution

The fourth proportional to 30,931.50, 46,404.09 and 13,161.22 is: 19,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.50 : 46,404.09 = 13,161.22 : x
  2. Step 2: Convert to fraction form
    30,931.50/46,404.09 = 13,161.22/x
  3. Step 3: Cross multiply
    30,931.50x = 46,404.09 × 13,161.22
  4. Step 4: Simplify right side
    30,931.50x = 610,734,321.38
  5. Step 5: Solve for x
    x = 610,734,321.38/30,931.50
  6. Step 6: Final answer
    x = 19,744.73

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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.