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Finding the Fourth Proportional to 3,878.88, 5,813.12 and 2,026.16

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Solution

The fourth proportional to 3,878.88, 5,813.12 and 2,026.16 is: 3,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.88 : 5,813.12 = 2,026.16 : x
  2. Step 2: Convert to fraction form
    3,878.88/5,813.12 = 2,026.16/x
  3. Step 3: Cross multiply
    3,878.88x = 5,813.12 × 2,026.16
  4. Step 4: Simplify right side
    3,878.88x = 11,778,311.22
  5. Step 5: Solve for x
    x = 11,778,311.22/3,878.88
  6. Step 6: Final answer
    x = 3,036.52

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1.5x scale

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.