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Finding the Fourth Proportional to 9,299.78, 12,828.95 and 5,939.06

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Solution

The fourth proportional to 9,299.78, 12,828.95 and 5,939.06 is: 8,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.78 : 12,828.95 = 5,939.06 : x
  2. Step 2: Convert to fraction form
    9,299.78/12,828.95 = 5,939.06/x
  3. Step 3: Cross multiply
    9,299.78x = 12,828.95 × 5,939.06
  4. Step 4: Simplify right side
    9,299.78x = 76,191,809.95
  5. Step 5: Solve for x
    x = 76,191,809.95/9,299.78
  6. Step 6: Final answer
    x = 8,192.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.