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Finding the Fourth Proportional to 4,128, 5,696.73 and 2,265

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Solution

The fourth proportional to 4,128, 5,696.73 and 2,265 is: 3,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 5,696.73 = 2,265 : x
  2. Step 2: Convert to fraction form
    4,128/5,696.73 = 2,265/x
  3. Step 3: Cross multiply
    4,128x = 5,696.73 × 2,265
  4. Step 4: Simplify right side
    4,128x = 12,903,093.45
  5. Step 5: Solve for x
    x = 12,903,093.45/4,128
  6. Step 6: Final answer
    x = 3,125.75

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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.