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Finding the Fourth Proportional to 4,483, 6,726.12 and 1,405

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Solution

The fourth proportional to 4,483, 6,726.12 and 1,405 is: 2,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483 : 6,726.12 = 1,405 : x
  2. Step 2: Convert to fraction form
    4,483/6,726.12 = 1,405/x
  3. Step 3: Cross multiply
    4,483x = 6,726.12 × 1,405
  4. Step 4: Simplify right side
    4,483x = 9,450,198.60
  5. Step 5: Solve for x
    x = 9,450,198.60/4,483
  6. Step 6: Final answer
    x = 2,108.01

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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.