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Finding the Fourth Proportional to 27,420.70, 41,133.83 and 7,699.33

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Solution

The fourth proportional to 27,420.70, 41,133.83 and 7,699.33 is: 11,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.70 : 41,133.83 = 7,699.33 : x
  2. Step 2: Convert to fraction form
    27,420.70/41,133.83 = 7,699.33/x
  3. Step 3: Cross multiply
    27,420.70x = 41,133.83 × 7,699.33
  4. Step 4: Simplify right side
    27,420.70x = 316,702,931.33
  5. Step 5: Solve for x
    x = 316,702,931.33/27,420.70
  6. Step 6: Final answer
    x = 11,549.78

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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.