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Finding the Fourth Proportional to 5,203, 7,804.51 and 2,125

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Solution

The fourth proportional to 5,203, 7,804.51 and 2,125 is: 3,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203 : 7,804.51 = 2,125 : x
  2. Step 2: Convert to fraction form
    5,203/7,804.51 = 2,125/x
  3. Step 3: Cross multiply
    5,203x = 7,804.51 × 2,125
  4. Step 4: Simplify right side
    5,203x = 16,584,578.44
  5. Step 5: Solve for x
    x = 16,584,578.44/5,203
  6. Step 6: Final answer
    x = 3,187.50

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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.