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Finding the Fourth Proportional to 13,898.44, 20,847.88 and 7,657.28

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Solution

The fourth proportional to 13,898.44, 20,847.88 and 7,657.28 is: 11,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.44 : 20,847.88 = 7,657.28 : x
  2. Step 2: Convert to fraction form
    13,898.44/20,847.88 = 7,657.28/x
  3. Step 3: Cross multiply
    13,898.44x = 20,847.88 × 7,657.28
  4. Step 4: Simplify right side
    13,898.44x = 159,638,155.35
  5. Step 5: Solve for x
    x = 159,638,155.35/13,898.44
  6. Step 6: Final answer
    x = 11,486.05

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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.