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Finding the Fourth Proportional to 27,305.70, 40,970.70 and 13,260.30

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Solution

The fourth proportional to 27,305.70, 40,970.70 and 13,260.30 is: 19,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305.70 : 40,970.70 = 13,260.30 : x
  2. Step 2: Convert to fraction form
    27,305.70/40,970.70 = 13,260.30/x
  3. Step 3: Cross multiply
    27,305.70x = 40,970.70 × 13,260.30
  4. Step 4: Simplify right side
    27,305.70x = 543,283,773.21
  5. Step 5: Solve for x
    x = 543,283,773.21/27,305.70
  6. Step 6: Final answer
    x = 19,896.35

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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.