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Finding the Fourth Proportional to 13,125, 18,120.69 and 8,417.49

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Solution

The fourth proportional to 13,125, 18,120.69 and 8,417.49 is: 11,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125 : 18,120.69 = 8,417.49 : x
  2. Step 2: Convert to fraction form
    13,125/18,120.69 = 8,417.49/x
  3. Step 3: Cross multiply
    13,125x = 18,120.69 × 8,417.49
  4. Step 4: Simplify right side
    13,125x = 152,530,726.87
  5. Step 5: Solve for x
    x = 152,530,726.87/13,125
  6. Step 6: Final answer
    x = 11,621.39

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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.