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Finding the Fourth Proportional to 13,607.84, 20,413.37 and 8,340.41

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Solution

The fourth proportional to 13,607.84, 20,413.37 and 8,340.41 is: 12,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.84 : 20,413.37 = 8,340.41 : x
  2. Step 2: Convert to fraction form
    13,607.84/20,413.37 = 8,340.41/x
  3. Step 3: Cross multiply
    13,607.84x = 20,413.37 × 8,340.41
  4. Step 4: Simplify right side
    13,607.84x = 170,255,731.51
  5. Step 5: Solve for x
    x = 170,255,731.51/13,607.84
  6. Step 6: Final answer
    x = 12,511.60

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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.