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Finding the Fourth Proportional to 8,951.30, 12,351.76 and 4,971.77

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Solution

The fourth proportional to 8,951.30, 12,351.76 and 4,971.77 is: 6,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.30 : 12,351.76 = 4,971.77 : x
  2. Step 2: Convert to fraction form
    8,951.30/12,351.76 = 4,971.77/x
  3. Step 3: Cross multiply
    8,951.30x = 12,351.76 × 4,971.77
  4. Step 4: Simplify right side
    8,951.30x = 61,410,128.27
  5. Step 5: Solve for x
    x = 61,410,128.27/8,951.30
  6. Step 6: Final answer
    x = 6,860.47

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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.