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Finding the Fourth Proportional to 12,105.99, 16,706.25 and 6,728.40

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Solution

The fourth proportional to 12,105.99, 16,706.25 and 6,728.40 is: 9,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.99 : 16,706.25 = 6,728.40 : x
  2. Step 2: Convert to fraction form
    12,105.99/16,706.25 = 6,728.40/x
  3. Step 3: Cross multiply
    12,105.99x = 16,706.25 × 6,728.40
  4. Step 4: Simplify right side
    12,105.99x = 112,406,332.50
  5. Step 5: Solve for x
    x = 112,406,332.50/12,105.99
  6. Step 6: Final answer
    x = 9,285.18

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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.