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Finding the Fourth Proportional to 4,682, 7,023 and 2,835.20

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Solution

The fourth proportional to 4,682, 7,023 and 2,835.20 is: 4,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682 : 7,023 = 2,835.20 : x
  2. Step 2: Convert to fraction form
    4,682/7,023 = 2,835.20/x
  3. Step 3: Cross multiply
    4,682x = 7,023 × 2,835.20
  4. Step 4: Simplify right side
    4,682x = 19,911,609.60
  5. Step 5: Solve for x
    x = 19,911,609.60/4,682
  6. Step 6: Final answer
    x = 4,252.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.