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Finding the Fourth Proportional to 13,494.12, 18,627 and 10,146.65

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Solution

The fourth proportional to 13,494.12, 18,627 and 10,146.65 is: 14,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.12 : 18,627 = 10,146.65 : x
  2. Step 2: Convert to fraction form
    13,494.12/18,627 = 10,146.65/x
  3. Step 3: Cross multiply
    13,494.12x = 18,627 × 10,146.65
  4. Step 4: Simplify right side
    13,494.12x = 189,001,649.55
  5. Step 5: Solve for x
    x = 189,001,649.55/13,494.12
  6. Step 6: Final answer
    x = 14,006.22

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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.