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Finding the Fourth Proportional to 27,995.02, 42,007.11 and 12,409

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Solution

The fourth proportional to 27,995.02, 42,007.11 and 12,409 is: 18,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,995.02 : 42,007.11 = 12,409 : x
  2. Step 2: Convert to fraction form
    27,995.02/42,007.11 = 12,409/x
  3. Step 3: Cross multiply
    27,995.02x = 42,007.11 × 12,409
  4. Step 4: Simplify right side
    27,995.02x = 521,266,227.99
  5. Step 5: Solve for x
    x = 521,266,227.99/27,995.02
  6. Step 6: Final answer
    x = 18,619.96

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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.