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Finding the Fourth Proportional to 3,390.63, 5,085.03 and 1,746.12

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Solution

The fourth proportional to 3,390.63, 5,085.03 and 1,746.12 is: 2,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.63 : 5,085.03 = 1,746.12 : x
  2. Step 2: Convert to fraction form
    3,390.63/5,085.03 = 1,746.12/x
  3. Step 3: Cross multiply
    3,390.63x = 5,085.03 × 1,746.12
  4. Step 4: Simplify right side
    3,390.63x = 8,879,072.58
  5. Step 5: Solve for x
    x = 8,879,072.58/3,390.63
  6. Step 6: Final answer
    x = 2,618.71

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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.