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Finding the Fourth Proportional to 27,245, 40,877.34 and 13,403.72

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Solution

The fourth proportional to 27,245, 40,877.34 and 13,403.72 is: 20,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245 : 40,877.34 = 13,403.72 : x
  2. Step 2: Convert to fraction form
    27,245/40,877.34 = 13,403.72/x
  3. Step 3: Cross multiply
    27,245x = 40,877.34 × 13,403.72
  4. Step 4: Simplify right side
    27,245x = 547,908,419.70
  5. Step 5: Solve for x
    x = 547,908,419.70/27,245
  6. Step 6: Final answer
    x = 20,110.42

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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.