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Finding the Fourth Proportional to 13,878.98, 20,797.84 and 8,325.82

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Solution

The fourth proportional to 13,878.98, 20,797.84 and 8,325.82 is: 12,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.98 : 20,797.84 = 8,325.82 : x
  2. Step 2: Convert to fraction form
    13,878.98/20,797.84 = 8,325.82/x
  3. Step 3: Cross multiply
    13,878.98x = 20,797.84 × 8,325.82
  4. Step 4: Simplify right side
    13,878.98x = 173,159,072.23
  5. Step 5: Solve for x
    x = 173,159,072.23/13,878.98
  6. Step 6: Final answer
    x = 12,476.35

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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.