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Finding the Fourth Proportional to 3,810.07, 5,710.53 and 1,962.05

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Solution

The fourth proportional to 3,810.07, 5,710.53 and 1,962.05 is: 2,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.07 : 5,710.53 = 1,962.05 : x
  2. Step 2: Convert to fraction form
    3,810.07/5,710.53 = 1,962.05/x
  3. Step 3: Cross multiply
    3,810.07x = 5,710.53 × 1,962.05
  4. Step 4: Simplify right side
    3,810.07x = 11,204,345.39
  5. Step 5: Solve for x
    x = 11,204,345.39/3,810.07
  6. Step 6: Final answer
    x = 2,940.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.