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Finding the Fourth Proportional to 27,270, 40,914.60 and 13,428.72

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Solution

The fourth proportional to 27,270, 40,914.60 and 13,428.72 is: 20,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 40,914.60 = 13,428.72 : x
  2. Step 2: Convert to fraction form
    27,270/40,914.60 = 13,428.72/x
  3. Step 3: Cross multiply
    27,270x = 40,914.60 × 13,428.72
  4. Step 4: Simplify right side
    27,270x = 549,430,707.31
  5. Step 5: Solve for x
    x = 549,430,707.31/27,270
  6. Step 6: Final answer
    x = 20,147.81

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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.