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Finding the Fourth Proportional to 9,415.30, 13,198.70 and 9,415.30

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Solution

The fourth proportional to 9,415.30, 13,198.70 and 9,415.30 is: 13,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.30 : 13,198.70 = 9,415.30 : x
  2. Step 2: Convert to fraction form
    9,415.30/13,198.70 = 9,415.30/x
  3. Step 3: Cross multiply
    9,415.30x = 13,198.70 × 9,415.30
  4. Step 4: Simplify right side
    9,415.30x = 124,269,720.11
  5. Step 5: Solve for x
    x = 124,269,720.11/9,415.30
  6. Step 6: Final answer
    x = 13,198.70

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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.