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Finding the Fourth Proportional to 27,328, 37,678.08 and 20,242.56

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Solution

The fourth proportional to 27,328, 37,678.08 and 20,242.56 is: 27,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328 : 37,678.08 = 20,242.56 : x
  2. Step 2: Convert to fraction form
    27,328/37,678.08 = 20,242.56/x
  3. Step 3: Cross multiply
    27,328x = 37,678.08 × 20,242.56
  4. Step 4: Simplify right side
    27,328x = 762,700,795.08
  5. Step 5: Solve for x
    x = 762,700,795.08/27,328
  6. Step 6: Final answer
    x = 27,909.13

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1.5x scale

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.