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Finding the Fourth Proportional to 28,596.40, 42,943.20 and 21,209.20

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Solution

The fourth proportional to 28,596.40, 42,943.20 and 21,209.20 is: 31,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.40 : 42,943.20 = 21,209.20 : x
  2. Step 2: Convert to fraction form
    28,596.40/42,943.20 = 21,209.20/x
  3. Step 3: Cross multiply
    28,596.40x = 42,943.20 × 21,209.20
  4. Step 4: Simplify right side
    28,596.40x = 910,790,917.44
  5. Step 5: Solve for x
    x = 910,790,917.44/28,596.40
  6. Step 6: Final answer
    x = 31,849.85

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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.