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Finding the Fourth Proportional to 31,295.82, 46,964.10 and 13,543.79

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Solution

The fourth proportional to 31,295.82, 46,964.10 and 13,543.79 is: 20,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.82 : 46,964.10 = 13,543.79 : x
  2. Step 2: Convert to fraction form
    31,295.82/46,964.10 = 13,543.79/x
  3. Step 3: Cross multiply
    31,295.82x = 46,964.10 × 13,543.79
  4. Step 4: Simplify right side
    31,295.82x = 636,071,907.94
  5. Step 5: Solve for x
    x = 636,071,907.94/31,295.82
  6. Step 6: Final answer
    x = 20,324.50

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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.