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Finding the Fourth Proportional to 27,938.58, 41,909.18 and 9,220.25

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Solution

The fourth proportional to 27,938.58, 41,909.18 and 9,220.25 is: 13,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938.58 : 41,909.18 = 9,220.25 : x
  2. Step 2: Convert to fraction form
    27,938.58/41,909.18 = 9,220.25/x
  3. Step 3: Cross multiply
    27,938.58x = 41,909.18 × 9,220.25
  4. Step 4: Simplify right side
    27,938.58x = 386,413,116.90
  5. Step 5: Solve for x
    x = 386,413,116.90/27,938.58
  6. Step 6: Final answer
    x = 13,830.81

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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.