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Finding the Fourth Proportional to 9,406.20, 13,151.40 and 9,406.20

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Solution

The fourth proportional to 9,406.20, 13,151.40 and 9,406.20 is: 13,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.20 : 13,151.40 = 9,406.20 : x
  2. Step 2: Convert to fraction form
    9,406.20/13,151.40 = 9,406.20/x
  3. Step 3: Cross multiply
    9,406.20x = 13,151.40 × 9,406.20
  4. Step 4: Simplify right side
    9,406.20x = 123,704,698.68
  5. Step 5: Solve for x
    x = 123,704,698.68/9,406.20
  6. Step 6: Final answer
    x = 13,151.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.