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Finding the Fourth Proportional to 12,188.40, 18,245.48 and 7,808.90

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Solution

The fourth proportional to 12,188.40, 18,245.48 and 7,808.90 is: 11,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.40 : 18,245.48 = 7,808.90 : x
  2. Step 2: Convert to fraction form
    12,188.40/18,245.48 = 7,808.90/x
  3. Step 3: Cross multiply
    12,188.40x = 18,245.48 × 7,808.90
  4. Step 4: Simplify right side
    12,188.40x = 142,477,128.77
  5. Step 5: Solve for x
    x = 142,477,128.77/12,188.40
  6. Step 6: Final answer
    x = 11,689.57

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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.