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Finding the Fourth Proportional to 13,164.63, 18,167.18 and 7,578.87

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Solution

The fourth proportional to 13,164.63, 18,167.18 and 7,578.87 is: 10,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.63 : 18,167.18 = 7,578.87 : x
  2. Step 2: Convert to fraction form
    13,164.63/18,167.18 = 7,578.87/x
  3. Step 3: Cross multiply
    13,164.63x = 18,167.18 × 7,578.87
  4. Step 4: Simplify right side
    13,164.63x = 137,686,695.49
  5. Step 5: Solve for x
    x = 137,686,695.49/13,164.63
  6. Step 6: Final answer
    x = 10,458.84

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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.