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Finding the Fourth Proportional to 8,964, 13,446 and 3,770.28

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Solution

The fourth proportional to 8,964, 13,446 and 3,770.28 is: 5,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 13,446 = 3,770.28 : x
  2. Step 2: Convert to fraction form
    8,964/13,446 = 3,770.28/x
  3. Step 3: Cross multiply
    8,964x = 13,446 × 3,770.28
  4. Step 4: Simplify right side
    8,964x = 50,695,184.88
  5. Step 5: Solve for x
    x = 50,695,184.88/8,964
  6. Step 6: Final answer
    x = 5,655.42

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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.