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Finding the Fourth Proportional to 12,877.65, 19,318.65 and 3,990.94

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Solution

The fourth proportional to 12,877.65, 19,318.65 and 3,990.94 is: 5,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.65 : 19,318.65 = 3,990.94 : x
  2. Step 2: Convert to fraction form
    12,877.65/19,318.65 = 3,990.94/x
  3. Step 3: Cross multiply
    12,877.65x = 19,318.65 × 3,990.94
  4. Step 4: Simplify right side
    12,877.65x = 77,099,573.03
  5. Step 5: Solve for x
    x = 77,099,573.03/12,877.65
  6. Step 6: Final answer
    x = 5,987.08

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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.