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Finding the Fourth Proportional to 27,898, 41,853.48 and 9,430

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Solution

The fourth proportional to 27,898, 41,853.48 and 9,430 is: 14,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898 : 41,853.48 = 9,430 : x
  2. Step 2: Convert to fraction form
    27,898/41,853.48 = 9,430/x
  3. Step 3: Cross multiply
    27,898x = 41,853.48 × 9,430
  4. Step 4: Simplify right side
    27,898x = 394,678,316.40
  5. Step 5: Solve for x
    x = 394,678,316.40/27,898
  6. Step 6: Final answer
    x = 14,147.19

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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.