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Finding the Fourth Proportional to 14,385, 21,577.50 and 3,996.84

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Solution

The fourth proportional to 14,385, 21,577.50 and 3,996.84 is: 5,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385 : 21,577.50 = 3,996.84 : x
  2. Step 2: Convert to fraction form
    14,385/21,577.50 = 3,996.84/x
  3. Step 3: Cross multiply
    14,385x = 21,577.50 × 3,996.84
  4. Step 4: Simplify right side
    14,385x = 86,241,815.10
  5. Step 5: Solve for x
    x = 86,241,815.10/14,385
  6. Step 6: Final answer
    x = 5,995.26

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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.