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Finding the Fourth Proportional to 10,965.44, 16,423.56 and 8,492.78

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Solution

The fourth proportional to 10,965.44, 16,423.56 and 8,492.78 is: 12,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.44 : 16,423.56 = 8,492.78 : x
  2. Step 2: Convert to fraction form
    10,965.44/16,423.56 = 8,492.78/x
  3. Step 3: Cross multiply
    10,965.44x = 16,423.56 × 8,492.78
  4. Step 4: Simplify right side
    10,965.44x = 139,481,681.90
  5. Step 5: Solve for x
    x = 139,481,681.90/10,965.44
  6. Step 6: Final answer
    x = 12,720.12

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1.5x scale

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.