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Finding the Fourth Proportional to 19,817.71, 27,347.59 and 11,864.32

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Solution

The fourth proportional to 19,817.71, 27,347.59 and 11,864.32 is: 16,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.71 : 27,347.59 = 11,864.32 : x
  2. Step 2: Convert to fraction form
    19,817.71/27,347.59 = 11,864.32/x
  3. Step 3: Cross multiply
    19,817.71x = 27,347.59 × 11,864.32
  4. Step 4: Simplify right side
    19,817.71x = 324,460,558.99
  5. Step 5: Solve for x
    x = 324,460,558.99/19,817.71
  6. Step 6: Final answer
    x = 16,372.25

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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.