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Finding the Fourth Proportional to 2,305.65, 3,181.23 and 1,409.16

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Solution

The fourth proportional to 2,305.65, 3,181.23 and 1,409.16 is: 1,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 3,181.23 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    2,305.65/3,181.23 = 1,409.16/x
  3. Step 3: Cross multiply
    2,305.65x = 3,181.23 × 1,409.16
  4. Step 4: Simplify right side
    2,305.65x = 4,482,862.07
  5. Step 5: Solve for x
    x = 4,482,862.07/2,305.65
  6. Step 6: Final answer
    x = 1,944.29

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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.