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Finding the Fourth Proportional to 15,544, 21,450.73 and 8,470.42

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Solution

The fourth proportional to 15,544, 21,450.73 and 8,470.42 is: 11,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544 : 21,450.73 = 8,470.42 : x
  2. Step 2: Convert to fraction form
    15,544/21,450.73 = 8,470.42/x
  3. Step 3: Cross multiply
    15,544x = 21,450.73 × 8,470.42
  4. Step 4: Simplify right side
    15,544x = 181,696,692.41
  5. Step 5: Solve for x
    x = 181,696,692.41/15,544
  6. Step 6: Final answer
    x = 11,689.19

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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.