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Finding the Fourth Proportional to 9,412.84, 12,990.18 and 5,221

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Solution

The fourth proportional to 9,412.84, 12,990.18 and 5,221 is: 7,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.84 : 12,990.18 = 5,221 : x
  2. Step 2: Convert to fraction form
    9,412.84/12,990.18 = 5,221/x
  3. Step 3: Cross multiply
    9,412.84x = 12,990.18 × 5,221
  4. Step 4: Simplify right side
    9,412.84x = 67,821,729.78
  5. Step 5: Solve for x
    x = 67,821,729.78/9,412.84
  6. Step 6: Final answer
    x = 7,205.24

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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.