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Finding the Fourth Proportional to 21,617.98, 32,413.95 and 8,454.64

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Solution

The fourth proportional to 21,617.98, 32,413.95 and 8,454.64 is: 12,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.98 : 32,413.95 = 8,454.64 : x
  2. Step 2: Convert to fraction form
    21,617.98/32,413.95 = 8,454.64/x
  3. Step 3: Cross multiply
    21,617.98x = 32,413.95 × 8,454.64
  4. Step 4: Simplify right side
    21,617.98x = 274,048,278.23
  5. Step 5: Solve for x
    x = 274,048,278.23/21,617.98
  6. Step 6: Final answer
    x = 12,676.87

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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.