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Finding the Fourth Proportional to 30,698.60, 46,047.90 and 10,977.80

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Solution

The fourth proportional to 30,698.60, 46,047.90 and 10,977.80 is: 16,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.60 : 46,047.90 = 10,977.80 : x
  2. Step 2: Convert to fraction form
    30,698.60/46,047.90 = 10,977.80/x
  3. Step 3: Cross multiply
    30,698.60x = 46,047.90 × 10,977.80
  4. Step 4: Simplify right side
    30,698.60x = 505,504,636.62
  5. Step 5: Solve for x
    x = 505,504,636.62/30,698.60
  6. Step 6: Final answer
    x = 16,466.70

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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.