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Finding the Fourth Proportional to 28,935.92, 43,392 and 9,209.18

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Solution

The fourth proportional to 28,935.92, 43,392 and 9,209.18 is: 13,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,935.92 : 43,392 = 9,209.18 : x
  2. Step 2: Convert to fraction form
    28,935.92/43,392 = 9,209.18/x
  3. Step 3: Cross multiply
    28,935.92x = 43,392 × 9,209.18
  4. Step 4: Simplify right side
    28,935.92x = 399,604,738.56
  5. Step 5: Solve for x
    x = 399,604,738.56/28,935.92
  6. Step 6: Final answer
    x = 13,809.99

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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.