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Finding the Fourth Proportional to 19,871.84, 27,422.06 and 11,374.14

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Solution

The fourth proportional to 19,871.84, 27,422.06 and 11,374.14 is: 15,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.84 : 27,422.06 = 11,374.14 : x
  2. Step 2: Convert to fraction form
    19,871.84/27,422.06 = 11,374.14/x
  3. Step 3: Cross multiply
    19,871.84x = 27,422.06 × 11,374.14
  4. Step 4: Simplify right side
    19,871.84x = 311,902,349.53
  5. Step 5: Solve for x
    x = 311,902,349.53/19,871.84
  6. Step 6: Final answer
    x = 15,695.70

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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.