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Finding the Fourth Proportional to 11,616.80, 17,420.16 and 4,218.80

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Solution

The fourth proportional to 11,616.80, 17,420.16 and 4,218.80 is: 6,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.80 : 17,420.16 = 4,218.80 : x
  2. Step 2: Convert to fraction form
    11,616.80/17,420.16 = 4,218.80/x
  3. Step 3: Cross multiply
    11,616.80x = 17,420.16 × 4,218.80
  4. Step 4: Simplify right side
    11,616.80x = 73,492,171.01
  5. Step 5: Solve for x
    x = 73,492,171.01/11,616.80
  6. Step 6: Final answer
    x = 6,326.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.