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Finding the Fourth Proportional to 27,202.10, 40,815.71 and 12,415.55

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Solution

The fourth proportional to 27,202.10, 40,815.71 and 12,415.55 is: 18,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.10 : 40,815.71 = 12,415.55 : x
  2. Step 2: Convert to fraction form
    27,202.10/40,815.71 = 12,415.55/x
  3. Step 3: Cross multiply
    27,202.10x = 40,815.71 × 12,415.55
  4. Step 4: Simplify right side
    27,202.10x = 506,749,375.19
  5. Step 5: Solve for x
    x = 506,749,375.19/27,202.10
  6. Step 6: Final answer
    x = 18,629.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.