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Finding the Fourth Proportional to 10,898.40, 16,322 and 5,334.40

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Solution

The fourth proportional to 10,898.40, 16,322 and 5,334.40 is: 7,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.40 : 16,322 = 5,334.40 : x
  2. Step 2: Convert to fraction form
    10,898.40/16,322 = 5,334.40/x
  3. Step 3: Cross multiply
    10,898.40x = 16,322 × 5,334.40
  4. Step 4: Simplify right side
    10,898.40x = 87,068,076.80
  5. Step 5: Solve for x
    x = 87,068,076.80/10,898.40
  6. Step 6: Final answer
    x = 7,989.07

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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.