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Finding the Fourth Proportional to 8,240.25, 12,365.10 and 8,173.38

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Solution

The fourth proportional to 8,240.25, 12,365.10 and 8,173.38 is: 12,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.25 : 12,365.10 = 8,173.38 : x
  2. Step 2: Convert to fraction form
    8,240.25/12,365.10 = 8,173.38/x
  3. Step 3: Cross multiply
    8,240.25x = 12,365.10 × 8,173.38
  4. Step 4: Simplify right side
    8,240.25x = 101,064,661.04
  5. Step 5: Solve for x
    x = 101,064,661.04/8,240.25
  6. Step 6: Final answer
    x = 12,264.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.