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Finding the Fourth Proportional to 30,993.40, 46,489.68 and 7,619.64

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Solution

The fourth proportional to 30,993.40, 46,489.68 and 7,619.64 is: 11,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.40 : 46,489.68 = 7,619.64 : x
  2. Step 2: Convert to fraction form
    30,993.40/46,489.68 = 7,619.64/x
  3. Step 3: Cross multiply
    30,993.40x = 46,489.68 × 7,619.64
  4. Step 4: Simplify right side
    30,993.40x = 354,234,625.32
  5. Step 5: Solve for x
    x = 354,234,625.32/30,993.40
  6. Step 6: Final answer
    x = 11,429.36

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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.