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Finding the Fourth Proportional to 3,405.68, 4,699.42 and 1,913.28

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Solution

The fourth proportional to 3,405.68, 4,699.42 and 1,913.28 is: 2,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.68 : 4,699.42 = 1,913.28 : x
  2. Step 2: Convert to fraction form
    3,405.68/4,699.42 = 1,913.28/x
  3. Step 3: Cross multiply
    3,405.68x = 4,699.42 × 1,913.28
  4. Step 4: Simplify right side
    3,405.68x = 8,991,306.30
  5. Step 5: Solve for x
    x = 8,991,306.30/3,405.68
  6. Step 6: Final answer
    x = 2,640.09

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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.