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Finding the Fourth Proportional to 13,645.88, 18,825.50 and 7,821.92

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Solution

The fourth proportional to 13,645.88, 18,825.50 and 7,821.92 is: 10,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.88 : 18,825.50 = 7,821.92 : x
  2. Step 2: Convert to fraction form
    13,645.88/18,825.50 = 7,821.92/x
  3. Step 3: Cross multiply
    13,645.88x = 18,825.50 × 7,821.92
  4. Step 4: Simplify right side
    13,645.88x = 147,251,554.96
  5. Step 5: Solve for x
    x = 147,251,554.96/13,645.88
  6. Step 6: Final answer
    x = 10,790.92

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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.