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Finding the Fourth Proportional to 8,330.24, 12,406.94 and 8,290

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Solution

The fourth proportional to 8,330.24, 12,406.94 and 8,290 is: 12,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.24 : 12,406.94 = 8,290 : x
  2. Step 2: Convert to fraction form
    8,330.24/12,406.94 = 8,290/x
  3. Step 3: Cross multiply
    8,330.24x = 12,406.94 × 8,290
  4. Step 4: Simplify right side
    8,330.24x = 102,853,532.60
  5. Step 5: Solve for x
    x = 102,853,532.60/8,330.24
  6. Step 6: Final answer
    x = 12,347.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.