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Finding the Fourth Proportional to 4,682, 6,461.16 and 2,818.64

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Solution

The fourth proportional to 4,682, 6,461.16 and 2,818.64 is: 3,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682 : 6,461.16 = 2,818.64 : x
  2. Step 2: Convert to fraction form
    4,682/6,461.16 = 2,818.64/x
  3. Step 3: Cross multiply
    4,682x = 6,461.16 × 2,818.64
  4. Step 4: Simplify right side
    4,682x = 18,211,684.02
  5. Step 5: Solve for x
    x = 18,211,684.02/4,682
  6. Step 6: Final answer
    x = 3,889.72

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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.