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Finding the Fourth Proportional to 10,857.10, 16,297.80 and 8,402.80

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Solution

The fourth proportional to 10,857.10, 16,297.80 and 8,402.80 is: 12,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.10 : 16,297.80 = 8,402.80 : x
  2. Step 2: Convert to fraction form
    10,857.10/16,297.80 = 8,402.80/x
  3. Step 3: Cross multiply
    10,857.10x = 16,297.80 × 8,402.80
  4. Step 4: Simplify right side
    10,857.10x = 136,947,153.84
  5. Step 5: Solve for x
    x = 136,947,153.84/10,857.10
  6. Step 6: Final answer
    x = 12,613.60

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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.