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Finding the Fourth Proportional to 6,370, 8,790.98 and 4,012.60

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Solution

The fourth proportional to 6,370, 8,790.98 and 4,012.60 is: 5,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370 : 8,790.98 = 4,012.60 : x
  2. Step 2: Convert to fraction form
    6,370/8,790.98 = 4,012.60/x
  3. Step 3: Cross multiply
    6,370x = 8,790.98 × 4,012.60
  4. Step 4: Simplify right side
    6,370x = 35,274,686.35
  5. Step 5: Solve for x
    x = 35,274,686.35/6,370
  6. Step 6: Final answer
    x = 5,537.63

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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.