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Finding the Fourth Proportional to 13,758.49, 20,648.06 and 6,368.12

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Solution

The fourth proportional to 13,758.49, 20,648.06 and 6,368.12 is: 9,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.49 : 20,648.06 = 6,368.12 : x
  2. Step 2: Convert to fraction form
    13,758.49/20,648.06 = 6,368.12/x
  3. Step 3: Cross multiply
    13,758.49x = 20,648.06 × 6,368.12
  4. Step 4: Simplify right side
    13,758.49x = 131,489,188.77
  5. Step 5: Solve for x
    x = 131,489,188.77/13,758.49
  6. Step 6: Final answer
    x = 9,556.95

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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.