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Finding the Fourth Proportional to 3,405.92, 4,699.72 and 1,913.83

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Solution

The fourth proportional to 3,405.92, 4,699.72 and 1,913.83 is: 2,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.92 : 4,699.72 = 1,913.83 : x
  2. Step 2: Convert to fraction form
    3,405.92/4,699.72 = 1,913.83/x
  3. Step 3: Cross multiply
    3,405.92x = 4,699.72 × 1,913.83
  4. Step 4: Simplify right side
    3,405.92x = 8,994,465.13
  5. Step 5: Solve for x
    x = 8,994,465.13/3,405.92
  6. Step 6: Final answer
    x = 2,640.83

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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.