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Finding the Fourth Proportional to 12,210.49, 16,847.49 and 7,174.90

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Solution

The fourth proportional to 12,210.49, 16,847.49 and 7,174.90 is: 9,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.49 : 16,847.49 = 7,174.90 : x
  2. Step 2: Convert to fraction form
    12,210.49/16,847.49 = 7,174.90/x
  3. Step 3: Cross multiply
    12,210.49x = 16,847.49 × 7,174.90
  4. Step 4: Simplify right side
    12,210.49x = 120,879,056.00
  5. Step 5: Solve for x
    x = 120,879,056.00/12,210.49
  6. Step 6: Final answer
    x = 9,899.61

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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.