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Finding the Fourth Proportional to 13,706.50, 18,907.68 and 9,222.62

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Solution

The fourth proportional to 13,706.50, 18,907.68 and 9,222.62 is: 12,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.50 : 18,907.68 = 9,222.62 : x
  2. Step 2: Convert to fraction form
    13,706.50/18,907.68 = 9,222.62/x
  3. Step 3: Cross multiply
    13,706.50x = 18,907.68 × 9,222.62
  4. Step 4: Simplify right side
    13,706.50x = 174,378,347.72
  5. Step 5: Solve for x
    x = 174,378,347.72/13,706.50
  6. Step 6: Final answer
    x = 12,722.31

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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.