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Finding the Fourth Proportional to 3,888.44, 5,835.75 and 1,424.01

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Solution

The fourth proportional to 3,888.44, 5,835.75 and 1,424.01 is: 2,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.44 : 5,835.75 = 1,424.01 : x
  2. Step 2: Convert to fraction form
    3,888.44/5,835.75 = 1,424.01/x
  3. Step 3: Cross multiply
    3,888.44x = 5,835.75 × 1,424.01
  4. Step 4: Simplify right side
    3,888.44x = 8,310,182.90
  5. Step 5: Solve for x
    x = 8,310,182.90/3,888.44
  6. Step 6: Final answer
    x = 2,137.15

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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.