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Finding the Fourth Proportional to 28,935.21, 43,406.00 and 9,209.15

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Solution

The fourth proportional to 28,935.21, 43,406.00 and 9,209.15 is: 13,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,935.21 : 43,406.00 = 9,209.15 : x
  2. Step 2: Convert to fraction form
    28,935.21/43,406.00 = 9,209.15/x
  3. Step 3: Cross multiply
    28,935.21x = 43,406.00 × 9,209.15
  4. Step 4: Simplify right side
    28,935.21x = 399,732,101.82
  5. Step 5: Solve for x
    x = 399,732,101.82/28,935.21
  6. Step 6: Final answer
    x = 13,814.73

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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.