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Finding the Fourth Proportional to 9,412.99, 12,989.97 and 5,221.24

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Solution

The fourth proportional to 9,412.99, 12,989.97 and 5,221.24 is: 7,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.99 : 12,989.97 = 5,221.24 : x
  2. Step 2: Convert to fraction form
    9,412.99/12,989.97 = 5,221.24/x
  3. Step 3: Cross multiply
    9,412.99x = 12,989.97 × 5,221.24
  4. Step 4: Simplify right side
    9,412.99x = 67,823,750.96
  5. Step 5: Solve for x
    x = 67,823,750.96/9,412.99
  6. Step 6: Final answer
    x = 7,205.34

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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.