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Finding the Fourth Proportional to 2,405.88, 3,320.13 and 1,411.18

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Solution

The fourth proportional to 2,405.88, 3,320.13 and 1,411.18 is: 1,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.88 : 3,320.13 = 1,411.18 : x
  2. Step 2: Convert to fraction form
    2,405.88/3,320.13 = 1,411.18/x
  3. Step 3: Cross multiply
    2,405.88x = 3,320.13 × 1,411.18
  4. Step 4: Simplify right side
    2,405.88x = 4,685,301.05
  5. Step 5: Solve for x
    x = 4,685,301.05/2,405.88
  6. Step 6: Final answer
    x = 1,947.44

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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.