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Finding the Fourth Proportional to 3,969.12, 5,437.62 and 3,821.40

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Solution

The fourth proportional to 3,969.12, 5,437.62 and 3,821.40 is: 5,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.12 : 5,437.62 = 3,821.40 : x
  2. Step 2: Convert to fraction form
    3,969.12/5,437.62 = 3,821.40/x
  3. Step 3: Cross multiply
    3,969.12x = 5,437.62 × 3,821.40
  4. Step 4: Simplify right side
    3,969.12x = 20,779,321.07
  5. Step 5: Solve for x
    x = 20,779,321.07/3,969.12
  6. Step 6: Final answer
    x = 5,235.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.