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Finding the Fourth Proportional to 13,641.77, 18,822.80 and 7,975.41

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Solution

The fourth proportional to 13,641.77, 18,822.80 and 7,975.41 is: 11,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.77 : 18,822.80 = 7,975.41 : x
  2. Step 2: Convert to fraction form
    13,641.77/18,822.80 = 7,975.41/x
  3. Step 3: Cross multiply
    13,641.77x = 18,822.80 × 7,975.41
  4. Step 4: Simplify right side
    13,641.77x = 150,119,507.47
  5. Step 5: Solve for x
    x = 150,119,507.47/13,641.77
  6. Step 6: Final answer
    x = 11,004.41

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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.