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Finding the Fourth Proportional to 13,754.81, 18,978.48 and 7,785.20

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Solution

The fourth proportional to 13,754.81, 18,978.48 and 7,785.20 is: 10,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.81 : 18,978.48 = 7,785.20 : x
  2. Step 2: Convert to fraction form
    13,754.81/18,978.48 = 7,785.20/x
  3. Step 3: Cross multiply
    13,754.81x = 18,978.48 × 7,785.20
  4. Step 4: Simplify right side
    13,754.81x = 147,751,167.60
  5. Step 5: Solve for x
    x = 147,751,167.60/13,754.81
  6. Step 6: Final answer
    x = 10,741.79

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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.