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Finding the Fourth Proportional to 30,938.58, 46,413.12 and 12,208.80

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Solution

The fourth proportional to 30,938.58, 46,413.12 and 12,208.80 is: 18,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.58 : 46,413.12 = 12,208.80 : x
  2. Step 2: Convert to fraction form
    30,938.58/46,413.12 = 12,208.80/x
  3. Step 3: Cross multiply
    30,938.58x = 46,413.12 × 12,208.80
  4. Step 4: Simplify right side
    30,938.58x = 566,648,499.46
  5. Step 5: Solve for x
    x = 566,648,499.46/30,938.58
  6. Step 6: Final answer
    x = 18,315.27

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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.