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Finding the Fourth Proportional to 13,689, 18,883.26 and 9,204.84

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Solution

The fourth proportional to 13,689, 18,883.26 and 9,204.84 is: 12,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 18,883.26 = 9,204.84 : x
  2. Step 2: Convert to fraction form
    13,689/18,883.26 = 9,204.84/x
  3. Step 3: Cross multiply
    13,689x = 18,883.26 × 9,204.84
  4. Step 4: Simplify right side
    13,689x = 173,817,386.98
  5. Step 5: Solve for x
    x = 173,817,386.98/13,689
  6. Step 6: Final answer
    x = 12,697.60

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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.