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Finding the Fourth Proportional to 13,924.18, 19,212.64 and 8,257.87

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Solution

The fourth proportional to 13,924.18, 19,212.64 and 8,257.87 is: 11,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.18 : 19,212.64 = 8,257.87 : x
  2. Step 2: Convert to fraction form
    13,924.18/19,212.64 = 8,257.87/x
  3. Step 3: Cross multiply
    13,924.18x = 19,212.64 × 8,257.87
  4. Step 4: Simplify right side
    13,924.18x = 158,655,483.48
  5. Step 5: Solve for x
    x = 158,655,483.48/13,924.18
  6. Step 6: Final answer
    x = 11,394.24

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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.