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Finding the Fourth Proportional to 31,182.72, 46,773.44 and 7,809.28

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Solution

The fourth proportional to 31,182.72, 46,773.44 and 7,809.28 is: 11,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.72 : 46,773.44 = 7,809.28 : x
  2. Step 2: Convert to fraction form
    31,182.72/46,773.44 = 7,809.28/x
  3. Step 3: Cross multiply
    31,182.72x = 46,773.44 × 7,809.28
  4. Step 4: Simplify right side
    31,182.72x = 365,266,889.52
  5. Step 5: Solve for x
    x = 365,266,889.52/31,182.72
  6. Step 6: Final answer
    x = 11,713.76

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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.