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Finding the Fourth Proportional to 27,832, 38,408.25 and 15,085.39

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Solution

The fourth proportional to 27,832, 38,408.25 and 15,085.39 is: 20,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 38,408.25 = 15,085.39 : x
  2. Step 2: Convert to fraction form
    27,832/38,408.25 = 15,085.39/x
  3. Step 3: Cross multiply
    27,832x = 38,408.25 × 15,085.39
  4. Step 4: Simplify right side
    27,832x = 579,403,430.47
  5. Step 5: Solve for x
    x = 579,403,430.47/27,832
  6. Step 6: Final answer
    x = 20,817.89

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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.