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Finding the Fourth Proportional to 17,918.64, 24,726.88 and 9,960.80

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Solution

The fourth proportional to 17,918.64, 24,726.88 and 9,960.80 is: 13,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,918.64 : 24,726.88 = 9,960.80 : x
  2. Step 2: Convert to fraction form
    17,918.64/24,726.88 = 9,960.80/x
  3. Step 3: Cross multiply
    17,918.64x = 24,726.88 × 9,960.80
  4. Step 4: Simplify right side
    17,918.64x = 246,299,506.30
  5. Step 5: Solve for x
    x = 246,299,506.30/17,918.64
  6. Step 6: Final answer
    x = 13,745.44

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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.