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Finding the Fourth Proportional to 3,390.09, 5,085.09 and 1,416.78

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Solution

The fourth proportional to 3,390.09, 5,085.09 and 1,416.78 is: 2,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.09 : 5,085.09 = 1,416.78 : x
  2. Step 2: Convert to fraction form
    3,390.09/5,085.09 = 1,416.78/x
  3. Step 3: Cross multiply
    3,390.09x = 5,085.09 × 1,416.78
  4. Step 4: Simplify right side
    3,390.09x = 7,204,453.81
  5. Step 5: Solve for x
    x = 7,204,453.81/3,390.09
  6. Step 6: Final answer
    x = 2,125.15

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1.5x scale

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.