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Finding the Fourth Proportional to 3,823.68, 5,281.68 and 3,080.37

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Solution

The fourth proportional to 3,823.68, 5,281.68 and 3,080.37 is: 4,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.68 : 5,281.68 = 3,080.37 : x
  2. Step 2: Convert to fraction form
    3,823.68/5,281.68 = 3,080.37/x
  3. Step 3: Cross multiply
    3,823.68x = 5,281.68 × 3,080.37
  4. Step 4: Simplify right side
    3,823.68x = 16,269,528.62
  5. Step 5: Solve for x
    x = 16,269,528.62/3,823.68
  6. Step 6: Final answer
    x = 4,254.94

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1.5x scale

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.