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Finding the Fourth Proportional to 13,684.80, 18,883.92 and 7,716.24

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Solution

The fourth proportional to 13,684.80, 18,883.92 and 7,716.24 is: 10,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.80 : 18,883.92 = 7,716.24 : x
  2. Step 2: Convert to fraction form
    13,684.80/18,883.92 = 7,716.24/x
  3. Step 3: Cross multiply
    13,684.80x = 18,883.92 × 7,716.24
  4. Step 4: Simplify right side
    13,684.80x = 145,712,858.86
  5. Step 5: Solve for x
    x = 145,712,858.86/13,684.80
  6. Step 6: Final answer
    x = 10,647.79

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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.