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Finding the Fourth Proportional to 13,194.90, 18,211.02 and 7,529.64

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Solution

The fourth proportional to 13,194.90, 18,211.02 and 7,529.64 is: 10,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.90 : 18,211.02 = 7,529.64 : x
  2. Step 2: Convert to fraction form
    13,194.90/18,211.02 = 7,529.64/x
  3. Step 3: Cross multiply
    13,194.90x = 18,211.02 × 7,529.64
  4. Step 4: Simplify right side
    13,194.90x = 137,122,424.63
  5. Step 5: Solve for x
    x = 137,122,424.63/13,194.90
  6. Step 6: Final answer
    x = 10,392.08

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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.