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Finding the Fourth Proportional to 17,720.96, 26,580.48 and 5,408

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Solution

The fourth proportional to 17,720.96, 26,580.48 and 5,408 is: 8,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.96 : 26,580.48 = 5,408 : x
  2. Step 2: Convert to fraction form
    17,720.96/26,580.48 = 5,408/x
  3. Step 3: Cross multiply
    17,720.96x = 26,580.48 × 5,408
  4. Step 4: Simplify right side
    17,720.96x = 143,747,235.84
  5. Step 5: Solve for x
    x = 143,747,235.84/17,720.96
  6. Step 6: Final answer
    x = 8,111.71

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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.