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Finding the Fourth Proportional to 8,282, 12,423 and 3,090.32

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Solution

The fourth proportional to 8,282, 12,423 and 3,090.32 is: 4,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282 : 12,423 = 3,090.32 : x
  2. Step 2: Convert to fraction form
    8,282/12,423 = 3,090.32/x
  3. Step 3: Cross multiply
    8,282x = 12,423 × 3,090.32
  4. Step 4: Simplify right side
    8,282x = 38,391,045.36
  5. Step 5: Solve for x
    x = 38,391,045.36/8,282
  6. Step 6: Final answer
    x = 4,635.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.