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Finding the Fourth Proportional to 38,085.84, 57,128.85 and 10,383.84

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Solution

The fourth proportional to 38,085.84, 57,128.85 and 10,383.84 is: 15,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,085.84 : 57,128.85 = 10,383.84 : x
  2. Step 2: Convert to fraction form
    38,085.84/57,128.85 = 10,383.84/x
  3. Step 3: Cross multiply
    38,085.84x = 57,128.85 × 10,383.84
  4. Step 4: Simplify right side
    38,085.84x = 593,216,837.78
  5. Step 5: Solve for x
    x = 593,216,837.78/38,085.84
  6. Step 6: Final answer
    x = 15,575.78

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1.5x scale

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.