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Finding the Fourth Proportional to 13,641.80, 18,825.49 and 7,673.46

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Solution

The fourth proportional to 13,641.80, 18,825.49 and 7,673.46 is: 10,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.80 : 18,825.49 = 7,673.46 : x
  2. Step 2: Convert to fraction form
    13,641.80/18,825.49 = 7,673.46/x
  3. Step 3: Cross multiply
    13,641.80x = 18,825.49 × 7,673.46
  4. Step 4: Simplify right side
    13,641.80x = 144,456,644.50
  5. Step 5: Solve for x
    x = 144,456,644.50/13,641.80
  6. Step 6: Final answer
    x = 10,589.27

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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.