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Finding the Fourth Proportional to 12,774.38, 19,124.48 and 7,829.06

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Solution

The fourth proportional to 12,774.38, 19,124.48 and 7,829.06 is: 11,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.38 : 19,124.48 = 7,829.06 : x
  2. Step 2: Convert to fraction form
    12,774.38/19,124.48 = 7,829.06/x
  3. Step 3: Cross multiply
    12,774.38x = 19,124.48 × 7,829.06
  4. Step 4: Simplify right side
    12,774.38x = 149,726,701.39
  5. Step 5: Solve for x
    x = 149,726,701.39/12,774.38
  6. Step 6: Final answer
    x = 11,720.86

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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.