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Finding the Fourth Proportional to 13,679.63, 18,877.86 and 7,392

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Solution

The fourth proportional to 13,679.63, 18,877.86 and 7,392 is: 10,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.63 : 18,877.86 = 7,392 : x
  2. Step 2: Convert to fraction form
    13,679.63/18,877.86 = 7,392/x
  3. Step 3: Cross multiply
    13,679.63x = 18,877.86 × 7,392
  4. Step 4: Simplify right side
    13,679.63x = 139,545,141.12
  5. Step 5: Solve for x
    x = 139,545,141.12/13,679.63
  6. Step 6: Final answer
    x = 10,200.94

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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.