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Finding the Fourth Proportional to 13,915.84, 20,863.84 and 6,516.24

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Solution

The fourth proportional to 13,915.84, 20,863.84 and 6,516.24 is: 9,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.84 : 20,863.84 = 6,516.24 : x
  2. Step 2: Convert to fraction form
    13,915.84/20,863.84 = 6,516.24/x
  3. Step 3: Cross multiply
    13,915.84x = 20,863.84 × 6,516.24
  4. Step 4: Simplify right side
    13,915.84x = 135,953,788.76
  5. Step 5: Solve for x
    x = 135,953,788.76/13,915.84
  6. Step 6: Final answer
    x = 9,769.71

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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.