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Finding the Fourth Proportional to 10,965.95, 16,416.88 and 8,167.20

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Solution

The fourth proportional to 10,965.95, 16,416.88 and 8,167.20 is: 12,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.95 : 16,416.88 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    10,965.95/16,416.88 = 8,167.20/x
  3. Step 3: Cross multiply
    10,965.95x = 16,416.88 × 8,167.20
  4. Step 4: Simplify right side
    10,965.95x = 134,079,962.75
  5. Step 5: Solve for x
    x = 134,079,962.75/10,965.95
  6. Step 6: Final answer
    x = 12,226.93

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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.