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Finding the Fourth Proportional to 13,647.53, 20,476.14 and 7,809.05

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Solution

The fourth proportional to 13,647.53, 20,476.14 and 7,809.05 is: 11,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.53 : 20,476.14 = 7,809.05 : x
  2. Step 2: Convert to fraction form
    13,647.53/20,476.14 = 7,809.05/x
  3. Step 3: Cross multiply
    13,647.53x = 20,476.14 × 7,809.05
  4. Step 4: Simplify right side
    13,647.53x = 159,899,162.02
  5. Step 5: Solve for x
    x = 159,899,162.02/13,647.53
  6. Step 6: Final answer
    x = 11,716.34

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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.