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Finding the Fourth Proportional to 4,083, 6,124.56 and 1,005

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Solution

The fourth proportional to 4,083, 6,124.56 and 1,005 is: 1,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 6,124.56 = 1,005 : x
  2. Step 2: Convert to fraction form
    4,083/6,124.56 = 1,005/x
  3. Step 3: Cross multiply
    4,083x = 6,124.56 × 1,005
  4. Step 4: Simplify right side
    4,083x = 6,155,182.80
  5. Step 5: Solve for x
    x = 6,155,182.80/4,083
  6. Step 6: Final answer
    x = 1,507.51

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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.