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Finding the Fourth Proportional to 8,971.72, 13,447.86 and 4,345

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Solution

The fourth proportional to 8,971.72, 13,447.86 and 4,345 is: 6,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.72 : 13,447.86 = 4,345 : x
  2. Step 2: Convert to fraction form
    8,971.72/13,447.86 = 4,345/x
  3. Step 3: Cross multiply
    8,971.72x = 13,447.86 × 4,345
  4. Step 4: Simplify right side
    8,971.72x = 58,430,951.70
  5. Step 5: Solve for x
    x = 58,430,951.70/8,971.72
  6. Step 6: Final answer
    x = 6,512.79

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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.