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Finding the Fourth Proportional to 27,421.70, 41,135.33 and 7,700.33

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Solution

The fourth proportional to 27,421.70, 41,135.33 and 7,700.33 is: 11,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421.70 : 41,135.33 = 7,700.33 : x
  2. Step 2: Convert to fraction form
    27,421.70/41,135.33 = 7,700.33/x
  3. Step 3: Cross multiply
    27,421.70x = 41,135.33 × 7,700.33
  4. Step 4: Simplify right side
    27,421.70x = 316,755,615.66
  5. Step 5: Solve for x
    x = 316,755,615.66/27,421.70
  6. Step 6: Final answer
    x = 11,551.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.