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Finding the Fourth Proportional to 30,794.43, 46,191.65 and 7,420.87

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Solution

The fourth proportional to 30,794.43, 46,191.65 and 7,420.87 is: 11,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.43 : 46,191.65 = 7,420.87 : x
  2. Step 2: Convert to fraction form
    30,794.43/46,191.65 = 7,420.87/x
  3. Step 3: Cross multiply
    30,794.43x = 46,191.65 × 7,420.87
  4. Step 4: Simplify right side
    30,794.43x = 342,782,292.11
  5. Step 5: Solve for x
    x = 342,782,292.11/30,794.43
  6. Step 6: Final answer
    x = 11,131.31

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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.