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Finding the Fourth Proportional to 13,764.85, 18,995.13 and 7,797.10

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Solution

The fourth proportional to 13,764.85, 18,995.13 and 7,797.10 is: 10,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.85 : 18,995.13 = 7,797.10 : x
  2. Step 2: Convert to fraction form
    13,764.85/18,995.13 = 7,797.10/x
  3. Step 3: Cross multiply
    13,764.85x = 18,995.13 × 7,797.10
  4. Step 4: Simplify right side
    13,764.85x = 148,106,928.12
  5. Step 5: Solve for x
    x = 148,106,928.12/13,764.85
  6. Step 6: Final answer
    x = 10,759.79

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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.