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Finding the Fourth Proportional to 27,270, 40,902.80 and 7,548.92

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Solution

The fourth proportional to 27,270, 40,902.80 and 7,548.92 is: 11,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 40,902.80 = 7,548.92 : x
  2. Step 2: Convert to fraction form
    27,270/40,902.80 = 7,548.92/x
  3. Step 3: Cross multiply
    27,270x = 40,902.80 × 7,548.92
  4. Step 4: Simplify right side
    27,270x = 308,771,964.98
  5. Step 5: Solve for x
    x = 308,771,964.98/27,270
  6. Step 6: Final answer
    x = 11,322.77

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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.