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Finding the Fourth Proportional to 19,851.40, 29,765.76 and 8,155

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Solution

The fourth proportional to 19,851.40, 29,765.76 and 8,155 is: 12,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.40 : 29,765.76 = 8,155 : x
  2. Step 2: Convert to fraction form
    19,851.40/29,765.76 = 8,155/x
  3. Step 3: Cross multiply
    19,851.40x = 29,765.76 × 8,155
  4. Step 4: Simplify right side
    19,851.40x = 242,739,772.80
  5. Step 5: Solve for x
    x = 242,739,772.80/19,851.40
  6. Step 6: Final answer
    x = 12,227.84

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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.