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Finding the Fourth Proportional to 30,969.72, 46,422.81 and 12,242.16

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Solution

The fourth proportional to 30,969.72, 46,422.81 and 12,242.16 is: 18,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.72 : 46,422.81 = 12,242.16 : x
  2. Step 2: Convert to fraction form
    30,969.72/46,422.81 = 12,242.16/x
  3. Step 3: Cross multiply
    30,969.72x = 46,422.81 × 12,242.16
  4. Step 4: Simplify right side
    30,969.72x = 568,315,467.67
  5. Step 5: Solve for x
    x = 568,315,467.67/30,969.72
  6. Step 6: Final answer
    x = 18,350.68

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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.