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Finding the Fourth Proportional to 1,671.98, 2,305.05 and 1,409.54

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Solution

The fourth proportional to 1,671.98, 2,305.05 and 1,409.54 is: 1,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.98 : 2,305.05 = 1,409.54 : x
  2. Step 2: Convert to fraction form
    1,671.98/2,305.05 = 1,409.54/x
  3. Step 3: Cross multiply
    1,671.98x = 2,305.05 × 1,409.54
  4. Step 4: Simplify right side
    1,671.98x = 3,249,048.65
  5. Step 5: Solve for x
    x = 3,249,048.65/1,671.98
  6. Step 6: Final answer
    x = 1,943.24

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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.