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Finding the Fourth Proportional to 3,409.09, 4,704.63 and 1,916.92

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Solution

The fourth proportional to 3,409.09, 4,704.63 and 1,916.92 is: 2,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.09 : 4,704.63 = 1,916.92 : x
  2. Step 2: Convert to fraction form
    3,409.09/4,704.63 = 1,916.92/x
  3. Step 3: Cross multiply
    3,409.09x = 4,704.63 × 1,916.92
  4. Step 4: Simplify right side
    3,409.09x = 9,018,382.35
  5. Step 5: Solve for x
    x = 9,018,382.35/3,409.09
  6. Step 6: Final answer
    x = 2,645.39

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Half scale
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Double scale
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1.5x scale

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.