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Finding the Fourth Proportional to 13,841.50, 19,103.43 and 8,255.74

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Solution

The fourth proportional to 13,841.50, 19,103.43 and 8,255.74 is: 11,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.50 : 19,103.43 = 8,255.74 : x
  2. Step 2: Convert to fraction form
    13,841.50/19,103.43 = 8,255.74/x
  3. Step 3: Cross multiply
    13,841.50x = 19,103.43 × 8,255.74
  4. Step 4: Simplify right side
    13,841.50x = 157,712,951.19
  5. Step 5: Solve for x
    x = 157,712,951.19/13,841.50
  6. Step 6: Final answer
    x = 11,394.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.