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Finding the Fourth Proportional to 2,583, 3,873.30 and 1,001.52

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Solution

The fourth proportional to 2,583, 3,873.30 and 1,001.52 is: 1,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,873.30 = 1,001.52 : x
  2. Step 2: Convert to fraction form
    2,583/3,873.30 = 1,001.52/x
  3. Step 3: Cross multiply
    2,583x = 3,873.30 × 1,001.52
  4. Step 4: Simplify right side
    2,583x = 3,879,187.42
  5. Step 5: Solve for x
    x = 3,879,187.42/2,583
  6. Step 6: Final answer
    x = 1,501.81

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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.