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Finding the Fourth Proportional to 13,707.40, 18,919.80 and 8,042.98

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Solution

The fourth proportional to 13,707.40, 18,919.80 and 8,042.98 is: 11,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.40 : 18,919.80 = 8,042.98 : x
  2. Step 2: Convert to fraction form
    13,707.40/18,919.80 = 8,042.98/x
  3. Step 3: Cross multiply
    13,707.40x = 18,919.80 × 8,042.98
  4. Step 4: Simplify right side
    13,707.40x = 152,171,573.00
  5. Step 5: Solve for x
    x = 152,171,573.00/13,707.40
  6. Step 6: Final answer
    x = 11,101.42

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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.