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Finding the Fourth Proportional to 13,950.72, 20,920.91 and 4,588

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Solution

The fourth proportional to 13,950.72, 20,920.91 and 4,588 is: 6,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.72 : 20,920.91 = 4,588 : x
  2. Step 2: Convert to fraction form
    13,950.72/20,920.91 = 4,588/x
  3. Step 3: Cross multiply
    13,950.72x = 20,920.91 × 4,588
  4. Step 4: Simplify right side
    13,950.72x = 95,985,135.08
  5. Step 5: Solve for x
    x = 95,985,135.08/13,950.72
  6. Step 6: Final answer
    x = 6,880.30

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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.