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Finding the Fourth Proportional to 13,419, 18,523.08 and 7,830

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Solution

The fourth proportional to 13,419, 18,523.08 and 7,830 is: 10,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 18,523.08 = 7,830 : x
  2. Step 2: Convert to fraction form
    13,419/18,523.08 = 7,830/x
  3. Step 3: Cross multiply
    13,419x = 18,523.08 × 7,830
  4. Step 4: Simplify right side
    13,419x = 145,035,716.40
  5. Step 5: Solve for x
    x = 145,035,716.40/13,419
  6. Step 6: Final answer
    x = 10,808.24

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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.