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Finding the Fourth Proportional to 19,763.64, 29,649.48 and 8,077.80

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Solution

The fourth proportional to 19,763.64, 29,649.48 and 8,077.80 is: 12,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.64 : 29,649.48 = 8,077.80 : x
  2. Step 2: Convert to fraction form
    19,763.64/29,649.48 = 8,077.80/x
  3. Step 3: Cross multiply
    19,763.64x = 29,649.48 × 8,077.80
  4. Step 4: Simplify right side
    19,763.64x = 239,502,569.54
  5. Step 5: Solve for x
    x = 239,502,569.54/19,763.64
  6. Step 6: Final answer
    x = 12,118.34

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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.