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Finding the Fourth Proportional to 3,405.84, 4,703.13 and 2,149.12

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Solution

The fourth proportional to 3,405.84, 4,703.13 and 2,149.12 is: 2,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.84 : 4,703.13 = 2,149.12 : x
  2. Step 2: Convert to fraction form
    3,405.84/4,703.13 = 2,149.12/x
  3. Step 3: Cross multiply
    3,405.84x = 4,703.13 × 2,149.12
  4. Step 4: Simplify right side
    3,405.84x = 10,107,590.75
  5. Step 5: Solve for x
    x = 10,107,590.75/3,405.84
  6. Step 6: Final answer
    x = 2,967.72

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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.