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Finding the Fourth Proportional to 13,193.90, 18,209.64 and 7,528.64

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Solution

The fourth proportional to 13,193.90, 18,209.64 and 7,528.64 is: 10,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.90 : 18,209.64 = 7,528.64 : x
  2. Step 2: Convert to fraction form
    13,193.90/18,209.64 = 7,528.64/x
  3. Step 3: Cross multiply
    13,193.90x = 18,209.64 × 7,528.64
  4. Step 4: Simplify right side
    13,193.90x = 137,093,824.09
  5. Step 5: Solve for x
    x = 137,093,824.09/13,193.90
  6. Step 6: Final answer
    x = 10,390.70

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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.