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Finding the Fourth Proportional to 13,203.50, 18,221.37 and 7,614.50

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Solution

The fourth proportional to 13,203.50, 18,221.37 and 7,614.50 is: 10,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.50 : 18,221.37 = 7,614.50 : x
  2. Step 2: Convert to fraction form
    13,203.50/18,221.37 = 7,614.50/x
  3. Step 3: Cross multiply
    13,203.50x = 18,221.37 × 7,614.50
  4. Step 4: Simplify right side
    13,203.50x = 138,746,621.87
  5. Step 5: Solve for x
    x = 138,746,621.87/13,203.50
  6. Step 6: Final answer
    x = 10,508.32

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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.