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Finding the Fourth Proportional to 13,660.80, 20,494.13 and 7,740.50

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Solution

The fourth proportional to 13,660.80, 20,494.13 and 7,740.50 is: 11,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.80 : 20,494.13 = 7,740.50 : x
  2. Step 2: Convert to fraction form
    13,660.80/20,494.13 = 7,740.50/x
  3. Step 3: Cross multiply
    13,660.80x = 20,494.13 × 7,740.50
  4. Step 4: Simplify right side
    13,660.80x = 158,634,672.09
  5. Step 5: Solve for x
    x = 158,634,672.09/13,660.80
  6. Step 6: Final answer
    x = 11,612.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.