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Finding the Fourth Proportional to 13,486.50, 18,611.37 and 7,897.50

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Solution

The fourth proportional to 13,486.50, 18,611.37 and 7,897.50 is: 10,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.50 : 18,611.37 = 7,897.50 : x
  2. Step 2: Convert to fraction form
    13,486.50/18,611.37 = 7,897.50/x
  3. Step 3: Cross multiply
    13,486.50x = 18,611.37 × 7,897.50
  4. Step 4: Simplify right side
    13,486.50x = 146,983,294.58
  5. Step 5: Solve for x
    x = 146,983,294.58/13,486.50
  6. Step 6: Final answer
    x = 10,898.55

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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.