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Finding the Fourth Proportional to 5,383, 8,073.90 and 1,872.68

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Solution

The fourth proportional to 5,383, 8,073.90 and 1,872.68 is: 2,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 8,073.90 = 1,872.68 : x
  2. Step 2: Convert to fraction form
    5,383/8,073.90 = 1,872.68/x
  3. Step 3: Cross multiply
    5,383x = 8,073.90 × 1,872.68
  4. Step 4: Simplify right side
    5,383x = 15,119,831.05
  5. Step 5: Solve for x
    x = 15,119,831.05/5,383
  6. Step 6: Final answer
    x = 2,808.81

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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.