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Finding the Fourth Proportional to 13,584.68, 18,751.47 and 8,557.31

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Solution

The fourth proportional to 13,584.68, 18,751.47 and 8,557.31 is: 11,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.68 : 18,751.47 = 8,557.31 : x
  2. Step 2: Convert to fraction form
    13,584.68/18,751.47 = 8,557.31/x
  3. Step 3: Cross multiply
    13,584.68x = 18,751.47 × 8,557.31
  4. Step 4: Simplify right side
    13,584.68x = 160,462,156.53
  5. Step 5: Solve for x
    x = 160,462,156.53/13,584.68
  6. Step 6: Final answer
    x = 11,811.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.