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Finding the Fourth Proportional to 13,761.84, 20,656.48 and 6,368

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Solution

The fourth proportional to 13,761.84, 20,656.48 and 6,368 is: 9,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.84 : 20,656.48 = 6,368 : x
  2. Step 2: Convert to fraction form
    13,761.84/20,656.48 = 6,368/x
  3. Step 3: Cross multiply
    13,761.84x = 20,656.48 × 6,368
  4. Step 4: Simplify right side
    13,761.84x = 131,540,464.64
  5. Step 5: Solve for x
    x = 131,540,464.64/13,761.84
  6. Step 6: Final answer
    x = 9,558.35

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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.