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Finding the Fourth Proportional to 27,665.34, 38,178.09 and 15,090

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Solution

The fourth proportional to 27,665.34, 38,178.09 and 15,090 is: 20,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.34 : 38,178.09 = 15,090 : x
  2. Step 2: Convert to fraction form
    27,665.34/38,178.09 = 15,090/x
  3. Step 3: Cross multiply
    27,665.34x = 38,178.09 × 15,090
  4. Step 4: Simplify right side
    27,665.34x = 576,107,378.10
  5. Step 5: Solve for x
    x = 576,107,378.10/27,665.34
  6. Step 6: Final answer
    x = 20,824.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.