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Finding the Fourth Proportional to 3,779.99, 5,215.44 and 2,361.47

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Solution

The fourth proportional to 3,779.99, 5,215.44 and 2,361.47 is: 3,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.99 : 5,215.44 = 2,361.47 : x
  2. Step 2: Convert to fraction form
    3,779.99/5,215.44 = 2,361.47/x
  3. Step 3: Cross multiply
    3,779.99x = 5,215.44 × 2,361.47
  4. Step 4: Simplify right side
    3,779.99x = 12,316,118.14
  5. Step 5: Solve for x
    x = 12,316,118.14/3,779.99
  6. Step 6: Final answer
    x = 3,258.25

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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.