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Finding the Fourth Proportional to 13,745.99, 18,970.82 and 9,920.79

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Solution

The fourth proportional to 13,745.99, 18,970.82 and 9,920.79 is: 13,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.99 : 18,970.82 = 9,920.79 : x
  2. Step 2: Convert to fraction form
    13,745.99/18,970.82 = 9,920.79/x
  3. Step 3: Cross multiply
    13,745.99x = 18,970.82 × 9,920.79
  4. Step 4: Simplify right side
    13,745.99x = 188,205,521.35
  5. Step 5: Solve for x
    x = 188,205,521.35/13,745.99
  6. Step 6: Final answer
    x = 13,691.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.