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Finding the Fourth Proportional to 8,951, 12,352.20 and 4,972

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Solution

The fourth proportional to 8,951, 12,352.20 and 4,972 is: 6,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951 : 12,352.20 = 4,972 : x
  2. Step 2: Convert to fraction form
    8,951/12,352.20 = 4,972/x
  3. Step 3: Cross multiply
    8,951x = 12,352.20 × 4,972
  4. Step 4: Simplify right side
    8,951x = 61,415,138.40
  5. Step 5: Solve for x
    x = 61,415,138.40/8,951
  6. Step 6: Final answer
    x = 6,861.26

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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.