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Finding the Fourth Proportional to 3,829, 5,284.66 and 2,895.88

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Solution

The fourth proportional to 3,829, 5,284.66 and 2,895.88 is: 3,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,284.66 = 2,895.88 : x
  2. Step 2: Convert to fraction form
    3,829/5,284.66 = 2,895.88/x
  3. Step 3: Cross multiply
    3,829x = 5,284.66 × 2,895.88
  4. Step 4: Simplify right side
    3,829x = 15,303,741.20
  5. Step 5: Solve for x
    x = 15,303,741.20/3,829
  6. Step 6: Final answer
    x = 3,996.80

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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.