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Finding the Fourth Proportional to 5,415.75, 7,477.38 and 3,323.52

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Solution

The fourth proportional to 5,415.75, 7,477.38 and 3,323.52 is: 4,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.75 : 7,477.38 = 3,323.52 : x
  2. Step 2: Convert to fraction form
    5,415.75/7,477.38 = 3,323.52/x
  3. Step 3: Cross multiply
    5,415.75x = 7,477.38 × 3,323.52
  4. Step 4: Simplify right side
    5,415.75x = 24,851,221.98
  5. Step 5: Solve for x
    x = 24,851,221.98/5,415.75
  6. Step 6: Final answer
    x = 4,588.69

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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.