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Finding the Fourth Proportional to 38,459.64, 53,074.28 and 21,692.64

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Solution

The fourth proportional to 38,459.64, 53,074.28 and 21,692.64 is: 29,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.64 : 53,074.28 = 21,692.64 : x
  2. Step 2: Convert to fraction form
    38,459.64/53,074.28 = 21,692.64/x
  3. Step 3: Cross multiply
    38,459.64x = 53,074.28 × 21,692.64
  4. Step 4: Simplify right side
    38,459.64x = 1,151,321,140.84
  5. Step 5: Solve for x
    x = 1,151,321,140.84/38,459.64
  6. Step 6: Final answer
    x = 29,935.83

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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.