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Finding the Fourth Proportional to 9,415.13, 12,992.94 and 5,223.38

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Solution

The fourth proportional to 9,415.13, 12,992.94 and 5,223.38 is: 7,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.13 : 12,992.94 = 5,223.38 : x
  2. Step 2: Convert to fraction form
    9,415.13/12,992.94 = 5,223.38/x
  3. Step 3: Cross multiply
    9,415.13x = 12,992.94 × 5,223.38
  4. Step 4: Simplify right side
    9,415.13x = 67,866,997.97
  5. Step 5: Solve for x
    x = 67,866,997.97/9,415.13
  6. Step 6: Final answer
    x = 7,208.29

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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.