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Finding the Fourth Proportional to 16,561.50, 22,855.86 and 9,391.70

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Solution

The fourth proportional to 16,561.50, 22,855.86 and 9,391.70 is: 12,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.50 : 22,855.86 = 9,391.70 : x
  2. Step 2: Convert to fraction form
    16,561.50/22,855.86 = 9,391.70/x
  3. Step 3: Cross multiply
    16,561.50x = 22,855.86 × 9,391.70
  4. Step 4: Simplify right side
    16,561.50x = 214,655,266.08
  5. Step 5: Solve for x
    x = 214,655,266.08/16,561.50
  6. Step 6: Final answer
    x = 12,961.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.