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Finding the Fourth Proportional to 15,771.76, 21,764.64 and 8,698.04

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Solution

The fourth proportional to 15,771.76, 21,764.64 and 8,698.04 is: 12,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.76 : 21,764.64 = 8,698.04 : x
  2. Step 2: Convert to fraction form
    15,771.76/21,764.64 = 8,698.04/x
  3. Step 3: Cross multiply
    15,771.76x = 21,764.64 × 8,698.04
  4. Step 4: Simplify right side
    15,771.76x = 189,309,709.31
  5. Step 5: Solve for x
    x = 189,309,709.31/15,771.76
  6. Step 6: Final answer
    x = 12,003.08

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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.