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Finding the Fourth Proportional to 31,418.01, 47,114.73 and 11,685.83

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Solution

The fourth proportional to 31,418.01, 47,114.73 and 11,685.83 is: 17,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.01 : 47,114.73 = 11,685.83 : x
  2. Step 2: Convert to fraction form
    31,418.01/47,114.73 = 11,685.83/x
  3. Step 3: Cross multiply
    31,418.01x = 47,114.73 × 11,685.83
  4. Step 4: Simplify right side
    31,418.01x = 550,574,489.70
  5. Step 5: Solve for x
    x = 550,574,489.70/31,418.01
  6. Step 6: Final answer
    x = 17,524.17

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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.