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Finding the Fourth Proportional to 6,858, 9,466.20 and 4,374

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Solution

The fourth proportional to 6,858, 9,466.20 and 4,374 is: 6,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 9,466.20 = 4,374 : x
  2. Step 2: Convert to fraction form
    6,858/9,466.20 = 4,374/x
  3. Step 3: Cross multiply
    6,858x = 9,466.20 × 4,374
  4. Step 4: Simplify right side
    6,858x = 41,405,158.80
  5. Step 5: Solve for x
    x = 41,405,158.80/6,858
  6. Step 6: Final answer
    x = 6,037.50

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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.