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Finding the Fourth Proportional to 13,984, 20,958.90 and 6,578.62

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Solution

The fourth proportional to 13,984, 20,958.90 and 6,578.62 is: 9,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 20,958.90 = 6,578.62 : x
  2. Step 2: Convert to fraction form
    13,984/20,958.90 = 6,578.62/x
  3. Step 3: Cross multiply
    13,984x = 20,958.90 × 6,578.62
  4. Step 4: Simplify right side
    13,984x = 137,880,638.72
  5. Step 5: Solve for x
    x = 137,880,638.72/13,984
  6. Step 6: Final answer
    x = 9,859.89

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1.5x scale

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.