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Finding the Fourth Proportional to 3,888.36, 5,365.84 and 2,120

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Solution

The fourth proportional to 3,888.36, 5,365.84 and 2,120 is: 2,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.36 : 5,365.84 = 2,120 : x
  2. Step 2: Convert to fraction form
    3,888.36/5,365.84 = 2,120/x
  3. Step 3: Cross multiply
    3,888.36x = 5,365.84 × 2,120
  4. Step 4: Simplify right side
    3,888.36x = 11,375,580.80
  5. Step 5: Solve for x
    x = 11,375,580.80/3,888.36
  6. Step 6: Final answer
    x = 2,925.55

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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.