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Finding the Fourth Proportional to 30,993.92, 46,480 and 10,211.84

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Solution

The fourth proportional to 30,993.92, 46,480 and 10,211.84 is: 15,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.92 : 46,480 = 10,211.84 : x
  2. Step 2: Convert to fraction form
    30,993.92/46,480 = 10,211.84/x
  3. Step 3: Cross multiply
    30,993.92x = 46,480 × 10,211.84
  4. Step 4: Simplify right side
    30,993.92x = 474,646,323.20
  5. Step 5: Solve for x
    x = 474,646,323.20/30,993.92
  6. Step 6: Final answer
    x = 15,314.18

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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.