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Finding the Fourth Proportional to 14,372, 19,834.50 and 8,084.84

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Solution

The fourth proportional to 14,372, 19,834.50 and 8,084.84 is: 11,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372 : 19,834.50 = 8,084.84 : x
  2. Step 2: Convert to fraction form
    14,372/19,834.50 = 8,084.84/x
  3. Step 3: Cross multiply
    14,372x = 19,834.50 × 8,084.84
  4. Step 4: Simplify right side
    14,372x = 160,358,758.98
  5. Step 5: Solve for x
    x = 160,358,758.98/14,372
  6. Step 6: Final answer
    x = 11,157.72

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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.