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Finding the Fourth Proportional to 10,440.64, 15,660.96 and 6,328

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Solution

The fourth proportional to 10,440.64, 15,660.96 and 6,328 is: 9,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.64 : 15,660.96 = 6,328 : x
  2. Step 2: Convert to fraction form
    10,440.64/15,660.96 = 6,328/x
  3. Step 3: Cross multiply
    10,440.64x = 15,660.96 × 6,328
  4. Step 4: Simplify right side
    10,440.64x = 99,102,554.88
  5. Step 5: Solve for x
    x = 99,102,554.88/10,440.64
  6. Step 6: Final answer
    x = 9,492

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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.