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Finding the Fourth Proportional to 9,206.56, 12,700.98 and 7,209.10

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Solution

The fourth proportional to 9,206.56, 12,700.98 and 7,209.10 is: 9,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.56 : 12,700.98 = 7,209.10 : x
  2. Step 2: Convert to fraction form
    9,206.56/12,700.98 = 7,209.10/x
  3. Step 3: Cross multiply
    9,206.56x = 12,700.98 × 7,209.10
  4. Step 4: Simplify right side
    9,206.56x = 91,562,634.92
  5. Step 5: Solve for x
    x = 91,562,634.92/9,206.56
  6. Step 6: Final answer
    x = 9,945.37

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Half scale
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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.