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Finding the Fourth Proportional to 8,971.70, 12,379.70 and 4,992.26

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Solution

The fourth proportional to 8,971.70, 12,379.70 and 4,992.26 is: 6,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.70 : 12,379.70 = 4,992.26 : x
  2. Step 2: Convert to fraction form
    8,971.70/12,379.70 = 4,992.26/x
  3. Step 3: Cross multiply
    8,971.70x = 12,379.70 × 4,992.26
  4. Step 4: Simplify right side
    8,971.70x = 61,802,631.70
  5. Step 5: Solve for x
    x = 61,802,631.70/8,971.70
  6. Step 6: Final answer
    x = 6,888.62

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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.