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Finding the Fourth Proportional to 8,282, 11,429.20 and 4,556

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Solution

The fourth proportional to 8,282, 11,429.20 and 4,556 is: 6,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282 : 11,429.20 = 4,556 : x
  2. Step 2: Convert to fraction form
    8,282/11,429.20 = 4,556/x
  3. Step 3: Cross multiply
    8,282x = 11,429.20 × 4,556
  4. Step 4: Simplify right side
    8,282x = 52,071,435.20
  5. Step 5: Solve for x
    x = 52,071,435.20/8,282
  6. Step 6: Final answer
    x = 6,287.30

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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.