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Finding the Fourth Proportional to 13,687.40, 18,888.56 and 8,308

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Solution

The fourth proportional to 13,687.40, 18,888.56 and 8,308 is: 11,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.40 : 18,888.56 = 8,308 : x
  2. Step 2: Convert to fraction form
    13,687.40/18,888.56 = 8,308/x
  3. Step 3: Cross multiply
    13,687.40x = 18,888.56 × 8,308
  4. Step 4: Simplify right side
    13,687.40x = 156,926,156.48
  5. Step 5: Solve for x
    x = 156,926,156.48/13,687.40
  6. Step 6: Final answer
    x = 11,465.01

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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.