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Finding the Fourth Proportional to 13,707.90, 18,920.49 and 8,043.48

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Solution

The fourth proportional to 13,707.90, 18,920.49 and 8,043.48 is: 11,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.90 : 18,920.49 = 8,043.48 : x
  2. Step 2: Convert to fraction form
    13,707.90/18,920.49 = 8,043.48/x
  3. Step 3: Cross multiply
    13,707.90x = 18,920.49 × 8,043.48
  4. Step 4: Simplify right side
    13,707.90x = 152,186,582.91
  5. Step 5: Solve for x
    x = 152,186,582.91/13,707.90
  6. Step 6: Final answer
    x = 11,102.11

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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.