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Finding the Fourth Proportional to 13,894.88, 19,178.31 and 8,586.50

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Solution

The fourth proportional to 13,894.88, 19,178.31 and 8,586.50 is: 11,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.88 : 19,178.31 = 8,586.50 : x
  2. Step 2: Convert to fraction form
    13,894.88/19,178.31 = 8,586.50/x
  3. Step 3: Cross multiply
    13,894.88x = 19,178.31 × 8,586.50
  4. Step 4: Simplify right side
    13,894.88x = 164,674,558.82
  5. Step 5: Solve for x
    x = 164,674,558.82/13,894.88
  6. Step 6: Final answer
    x = 11,851.46

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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.