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Finding the Fourth Proportional to 30,969.40, 46,454.08 and 8,782.97

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Solution

The fourth proportional to 30,969.40, 46,454.08 and 8,782.97 is: 13,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.40 : 46,454.08 = 8,782.97 : x
  2. Step 2: Convert to fraction form
    30,969.40/46,454.08 = 8,782.97/x
  3. Step 3: Cross multiply
    30,969.40x = 46,454.08 × 8,782.97
  4. Step 4: Simplify right side
    30,969.40x = 408,004,514.83
  5. Step 5: Solve for x
    x = 408,004,514.83/30,969.40
  6. Step 6: Final answer
    x = 13,174.44

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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.