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Finding the Fourth Proportional to 6,100.75, 8,418.56 and 3,710.40

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Solution

The fourth proportional to 6,100.75, 8,418.56 and 3,710.40 is: 5,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.75 : 8,418.56 = 3,710.40 : x
  2. Step 2: Convert to fraction form
    6,100.75/8,418.56 = 3,710.40/x
  3. Step 3: Cross multiply
    6,100.75x = 8,418.56 × 3,710.40
  4. Step 4: Simplify right side
    6,100.75x = 31,236,225.02
  5. Step 5: Solve for x
    x = 31,236,225.02/6,100.75
  6. Step 6: Final answer
    x = 5,120.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.