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Finding the Fourth Proportional to 13,891, 20,828.40 and 7,315.60

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Solution

The fourth proportional to 13,891, 20,828.40 and 7,315.60 is: 10,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891 : 20,828.40 = 7,315.60 : x
  2. Step 2: Convert to fraction form
    13,891/20,828.40 = 7,315.60/x
  3. Step 3: Cross multiply
    13,891x = 20,828.40 × 7,315.60
  4. Step 4: Simplify right side
    13,891x = 152,372,243.04
  5. Step 5: Solve for x
    x = 152,372,243.04/13,891
  6. Step 6: Final answer
    x = 10,969.13

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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.