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Finding the Fourth Proportional to 20,778, 28,673.79 and 11,346.57

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Solution

The fourth proportional to 20,778, 28,673.79 and 11,346.57 is: 15,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 28,673.79 = 11,346.57 : x
  2. Step 2: Convert to fraction form
    20,778/28,673.79 = 11,346.57/x
  3. Step 3: Cross multiply
    20,778x = 28,673.79 × 11,346.57
  4. Step 4: Simplify right side
    20,778x = 325,349,022.03
  5. Step 5: Solve for x
    x = 325,349,022.03/20,778
  6. Step 6: Final answer
    x = 15,658.34

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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.