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Finding the Fourth Proportional to 38,895, 58,351.14 and 14,271

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Solution

The fourth proportional to 38,895, 58,351.14 and 14,271 is: 21,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,895 : 58,351.14 = 14,271 : x
  2. Step 2: Convert to fraction form
    38,895/58,351.14 = 14,271/x
  3. Step 3: Cross multiply
    38,895x = 58,351.14 × 14,271
  4. Step 4: Simplify right side
    38,895x = 832,729,118.94
  5. Step 5: Solve for x
    x = 832,729,118.94/38,895
  6. Step 6: Final answer
    x = 21,409.67

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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.