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Finding the Fourth Proportional to 9,208.89, 12,708.90 and 5,230.44

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Solution

The fourth proportional to 9,208.89, 12,708.90 and 5,230.44 is: 7,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.89 : 12,708.90 = 5,230.44 : x
  2. Step 2: Convert to fraction form
    9,208.89/12,708.90 = 5,230.44/x
  3. Step 3: Cross multiply
    9,208.89x = 12,708.90 × 5,230.44
  4. Step 4: Simplify right side
    9,208.89x = 66,473,138.92
  5. Step 5: Solve for x
    x = 66,473,138.92/9,208.89
  6. Step 6: Final answer
    x = 7,218.37

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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.