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Finding the Fourth Proportional to 13,744.21, 20,616.32 and 7,897.09

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Solution

The fourth proportional to 13,744.21, 20,616.32 and 7,897.09 is: 11,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.21 : 20,616.32 = 7,897.09 : x
  2. Step 2: Convert to fraction form
    13,744.21/20,616.32 = 7,897.09/x
  3. Step 3: Cross multiply
    13,744.21x = 20,616.32 × 7,897.09
  4. Step 4: Simplify right side
    13,744.21x = 162,808,934.51
  5. Step 5: Solve for x
    x = 162,808,934.51/13,744.21
  6. Step 6: Final answer
    x = 11,845.64

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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.