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Finding the Fourth Proportional to 14,596.75, 20,144 and 7,972.75

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Solution

The fourth proportional to 14,596.75, 20,144 and 7,972.75 is: 11,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.75 : 20,144 = 7,972.75 : x
  2. Step 2: Convert to fraction form
    14,596.75/20,144 = 7,972.75/x
  3. Step 3: Cross multiply
    14,596.75x = 20,144 × 7,972.75
  4. Step 4: Simplify right side
    14,596.75x = 160,603,076
  5. Step 5: Solve for x
    x = 160,603,076/14,596.75
  6. Step 6: Final answer
    x = 11,002.66

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Double scale
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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.