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Finding the Fourth Proportional to 15,582.82, 21,504.42 and 8,509.44

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Solution

The fourth proportional to 15,582.82, 21,504.42 and 8,509.44 is: 11,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.82 : 21,504.42 = 8,509.44 : x
  2. Step 2: Convert to fraction form
    15,582.82/21,504.42 = 8,509.44/x
  3. Step 3: Cross multiply
    15,582.82x = 21,504.42 × 8,509.44
  4. Step 4: Simplify right side
    15,582.82x = 182,990,571.72
  5. Step 5: Solve for x
    x = 182,990,571.72/15,582.82
  6. Step 6: Final answer
    x = 11,743.10

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1.5x scale

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.