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Finding the Fourth Proportional to 6,858, 9,461.61 and 4,202.55

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Solution

The fourth proportional to 6,858, 9,461.61 and 4,202.55 is: 5,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 9,461.61 = 4,202.55 : x
  2. Step 2: Convert to fraction form
    6,858/9,461.61 = 4,202.55/x
  3. Step 3: Cross multiply
    6,858x = 9,461.61 × 4,202.55
  4. Step 4: Simplify right side
    6,858x = 39,762,889.11
  5. Step 5: Solve for x
    x = 39,762,889.11/6,858
  6. Step 6: Final answer
    x = 5,798.03

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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.