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Finding the Fourth Proportional to 8,954, 12,356.34 and 4,975

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Solution

The fourth proportional to 8,954, 12,356.34 and 4,975 is: 6,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954 : 12,356.34 = 4,975 : x
  2. Step 2: Convert to fraction form
    8,954/12,356.34 = 4,975/x
  3. Step 3: Cross multiply
    8,954x = 12,356.34 × 4,975
  4. Step 4: Simplify right side
    8,954x = 61,472,791.50
  5. Step 5: Solve for x
    x = 61,472,791.50/8,954
  6. Step 6: Final answer
    x = 6,865.40

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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.