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Finding the Fourth Proportional to 13,998.80, 21,257.44 and 13,998.80

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Solution

The fourth proportional to 13,998.80, 21,257.44 and 13,998.80 is: 21,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.80 : 21,257.44 = 13,998.80 : x
  2. Step 2: Convert to fraction form
    13,998.80/21,257.44 = 13,998.80/x
  3. Step 3: Cross multiply
    13,998.80x = 21,257.44 × 13,998.80
  4. Step 4: Simplify right side
    13,998.80x = 297,578,651.07
  5. Step 5: Solve for x
    x = 297,578,651.07/13,998.80
  6. Step 6: Final answer
    x = 21,257.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.