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Finding the Fourth Proportional to 14,113.44, 21,144 and 7,085.20

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Solution

The fourth proportional to 14,113.44, 21,144 and 7,085.20 is: 10,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.44 : 21,144 = 7,085.20 : x
  2. Step 2: Convert to fraction form
    14,113.44/21,144 = 7,085.20/x
  3. Step 3: Cross multiply
    14,113.44x = 21,144 × 7,085.20
  4. Step 4: Simplify right side
    14,113.44x = 149,809,468.80
  5. Step 5: Solve for x
    x = 149,809,468.80/14,113.44
  6. Step 6: Final answer
    x = 10,614.67

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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.