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Finding the Fourth Proportional to 13,991.76, 20,978.52 and 6,492.24

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Solution

The fourth proportional to 13,991.76, 20,978.52 and 6,492.24 is: 9,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.76 : 20,978.52 = 6,492.24 : x
  2. Step 2: Convert to fraction form
    13,991.76/20,978.52 = 6,492.24/x
  3. Step 3: Cross multiply
    13,991.76x = 20,978.52 × 6,492.24
  4. Step 4: Simplify right side
    13,991.76x = 136,197,586.68
  5. Step 5: Solve for x
    x = 136,197,586.68/13,991.76
  6. Step 6: Final answer
    x = 9,734.13

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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.