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Finding the Fourth Proportional to 4,858, 7,281.34 and 2,080.48

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Solution

The fourth proportional to 4,858, 7,281.34 and 2,080.48 is: 3,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858 : 7,281.34 = 2,080.48 : x
  2. Step 2: Convert to fraction form
    4,858/7,281.34 = 2,080.48/x
  3. Step 3: Cross multiply
    4,858x = 7,281.34 × 2,080.48
  4. Step 4: Simplify right side
    4,858x = 15,148,682.24
  5. Step 5: Solve for x
    x = 15,148,682.24/4,858
  6. Step 6: Final answer
    x = 3,118.30

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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.