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Finding the Fourth Proportional to 20,129, 27,776.80 and 11,175.84

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Solution

The fourth proportional to 20,129, 27,776.80 and 11,175.84 is: 15,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129 : 27,776.80 = 11,175.84 : x
  2. Step 2: Convert to fraction form
    20,129/27,776.80 = 11,175.84/x
  3. Step 3: Cross multiply
    20,129x = 27,776.80 × 11,175.84
  4. Step 4: Simplify right side
    20,129x = 310,429,072.51
  5. Step 5: Solve for x
    x = 310,429,072.51/20,129
  6. Step 6: Final answer
    x = 15,421.98

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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.