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Finding the Fourth Proportional to 13,915, 20,837.88 and 9,735.44

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Solution

The fourth proportional to 13,915, 20,837.88 and 9,735.44 is: 14,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915 : 20,837.88 = 9,735.44 : x
  2. Step 2: Convert to fraction form
    13,915/20,837.88 = 9,735.44/x
  3. Step 3: Cross multiply
    13,915x = 20,837.88 × 9,735.44
  4. Step 4: Simplify right side
    13,915x = 202,865,881.79
  5. Step 5: Solve for x
    x = 202,865,881.79/13,915
  6. Step 6: Final answer
    x = 14,578.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.