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Finding the Fourth Proportional to 19,851, 29,768.96 and 8,000.76

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Solution

The fourth proportional to 19,851, 29,768.96 and 8,000.76 is: 11,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851 : 29,768.96 = 8,000.76 : x
  2. Step 2: Convert to fraction form
    19,851/29,768.96 = 8,000.76/x
  3. Step 3: Cross multiply
    19,851x = 29,768.96 × 8,000.76
  4. Step 4: Simplify right side
    19,851x = 238,174,304.41
  5. Step 5: Solve for x
    x = 238,174,304.41/19,851
  6. Step 6: Final answer
    x = 11,998.10

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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.