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Finding the Fourth Proportional to 12,869.98, 19,304.49 and 4,661.98

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Solution

The fourth proportional to 12,869.98, 19,304.49 and 4,661.98 is: 6,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.98 : 19,304.49 = 4,661.98 : x
  2. Step 2: Convert to fraction form
    12,869.98/19,304.49 = 4,661.98/x
  3. Step 3: Cross multiply
    12,869.98x = 19,304.49 × 4,661.98
  4. Step 4: Simplify right side
    12,869.98x = 89,997,146.29
  5. Step 5: Solve for x
    x = 89,997,146.29/12,869.98
  6. Step 6: Final answer
    x = 6,992.80

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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.