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Finding the Fourth Proportional to 27,375, 37,778.07 and 15,436.05

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Solution

The fourth proportional to 27,375, 37,778.07 and 15,436.05 is: 21,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375 : 37,778.07 = 15,436.05 : x
  2. Step 2: Convert to fraction form
    27,375/37,778.07 = 15,436.05/x
  3. Step 3: Cross multiply
    27,375x = 37,778.07 × 15,436.05
  4. Step 4: Simplify right side
    27,375x = 583,144,177.42
  5. Step 5: Solve for x
    x = 583,144,177.42/27,375
  6. Step 6: Final answer
    x = 21,302.07

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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.