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Finding the Fourth Proportional to 19,776.35, 29,664.48 and 8,089.58

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Solution

The fourth proportional to 19,776.35, 29,664.48 and 8,089.58 is: 12,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.35 : 29,664.48 = 8,089.58 : x
  2. Step 2: Convert to fraction form
    19,776.35/29,664.48 = 8,089.58/x
  3. Step 3: Cross multiply
    19,776.35x = 29,664.48 × 8,089.58
  4. Step 4: Simplify right side
    19,776.35x = 239,973,035.80
  5. Step 5: Solve for x
    x = 239,973,035.80/19,776.35
  6. Step 6: Final answer
    x = 12,134.34

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1.5x scale

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.