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Finding the Fourth Proportional to 15,482.43, 21,365.76 and 8,409

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Solution

The fourth proportional to 15,482.43, 21,365.76 and 8,409 is: 11,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.43 : 21,365.76 = 8,409 : x
  2. Step 2: Convert to fraction form
    15,482.43/21,365.76 = 8,409/x
  3. Step 3: Cross multiply
    15,482.43x = 21,365.76 × 8,409
  4. Step 4: Simplify right side
    15,482.43x = 179,664,675.84
  5. Step 5: Solve for x
    x = 179,664,675.84/15,482.43
  6. Step 6: Final answer
    x = 11,604.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.