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Finding the Fourth Proportional to 3,590, 5,384.94 and 1,400.22

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Solution

The fourth proportional to 3,590, 5,384.94 and 1,400.22 is: 2,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590 : 5,384.94 = 1,400.22 : x
  2. Step 2: Convert to fraction form
    3,590/5,384.94 = 1,400.22/x
  3. Step 3: Cross multiply
    3,590x = 5,384.94 × 1,400.22
  4. Step 4: Simplify right side
    3,590x = 7,540,100.69
  5. Step 5: Solve for x
    x = 7,540,100.69/3,590
  6. Step 6: Final answer
    x = 2,100.31

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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.