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Finding the Fourth Proportional to 3,405.42, 4,699.23 and 1,913.05

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Solution

The fourth proportional to 3,405.42, 4,699.23 and 1,913.05 is: 2,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 4,699.23 = 1,913.05 : x
  2. Step 2: Convert to fraction form
    3,405.42/4,699.23 = 1,913.05/x
  3. Step 3: Cross multiply
    3,405.42x = 4,699.23 × 1,913.05
  4. Step 4: Simplify right side
    3,405.42x = 8,989,860.65
  5. Step 5: Solve for x
    x = 8,989,860.65/3,405.42
  6. Step 6: Final answer
    x = 2,639.87

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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.