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Finding the Fourth Proportional to 13,637.76, 18,820.80 and 8,048.64

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Solution

The fourth proportional to 13,637.76, 18,820.80 and 8,048.64 is: 11,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.76 : 18,820.80 = 8,048.64 : x
  2. Step 2: Convert to fraction form
    13,637.76/18,820.80 = 8,048.64/x
  3. Step 3: Cross multiply
    13,637.76x = 18,820.80 × 8,048.64
  4. Step 4: Simplify right side
    13,637.76x = 151,481,843.71
  5. Step 5: Solve for x
    x = 151,481,843.71/13,637.76
  6. Step 6: Final answer
    x = 11,107.53

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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.