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Finding the Fourth Proportional to 9,212.56, 13,814.56 and 2,971.40

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Solution

The fourth proportional to 9,212.56, 13,814.56 and 2,971.40 is: 4,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.56 : 13,814.56 = 2,971.40 : x
  2. Step 2: Convert to fraction form
    9,212.56/13,814.56 = 2,971.40/x
  3. Step 3: Cross multiply
    9,212.56x = 13,814.56 × 2,971.40
  4. Step 4: Simplify right side
    9,212.56x = 41,048,583.58
  5. Step 5: Solve for x
    x = 41,048,583.58/9,212.56
  6. Step 6: Final answer
    x = 4,455.72

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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.