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Finding the Fourth Proportional to 9,284, 13,926.24 and 3,128

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Solution

The fourth proportional to 9,284, 13,926.24 and 3,128 is: 4,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284 : 13,926.24 = 3,128 : x
  2. Step 2: Convert to fraction form
    9,284/13,926.24 = 3,128/x
  3. Step 3: Cross multiply
    9,284x = 13,926.24 × 3,128
  4. Step 4: Simplify right side
    9,284x = 43,561,278.72
  5. Step 5: Solve for x
    x = 43,561,278.72/9,284
  6. Step 6: Final answer
    x = 4,692.08

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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.