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Finding the Fourth Proportional to 12,761.84, 19,101.80 and 6,823.89

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Solution

The fourth proportional to 12,761.84, 19,101.80 and 6,823.89 is: 10,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.84 : 19,101.80 = 6,823.89 : x
  2. Step 2: Convert to fraction form
    12,761.84/19,101.80 = 6,823.89/x
  3. Step 3: Cross multiply
    12,761.84x = 19,101.80 × 6,823.89
  4. Step 4: Simplify right side
    12,761.84x = 130,348,599.06
  5. Step 5: Solve for x
    x = 130,348,599.06/12,761.84
  6. Step 6: Final answer
    x = 10,213.93

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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.