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Finding the Fourth Proportional to 13,706.28, 18,895.28 and 9,725.94

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Solution

The fourth proportional to 13,706.28, 18,895.28 and 9,725.94 is: 13,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.28 : 18,895.28 = 9,725.94 : x
  2. Step 2: Convert to fraction form
    13,706.28/18,895.28 = 9,725.94/x
  3. Step 3: Cross multiply
    13,706.28x = 18,895.28 × 9,725.94
  4. Step 4: Simplify right side
    13,706.28x = 183,774,310.93
  5. Step 5: Solve for x
    x = 183,774,310.93/13,706.28
  6. Step 6: Final answer
    x = 13,408.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.