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Finding the Fourth Proportional to 13,480.13, 18,602.97 and 7,814.90

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Solution

The fourth proportional to 13,480.13, 18,602.97 and 7,814.90 is: 10,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.13 : 18,602.97 = 7,814.90 : x
  2. Step 2: Convert to fraction form
    13,480.13/18,602.97 = 7,814.90/x
  3. Step 3: Cross multiply
    13,480.13x = 18,602.97 × 7,814.90
  4. Step 4: Simplify right side
    13,480.13x = 145,380,350.25
  5. Step 5: Solve for x
    x = 145,380,350.25/13,480.13
  6. Step 6: Final answer
    x = 10,784.79

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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.