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Finding the Fourth Proportional to 8,569.34, 12,855.16 and 3,021.38

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Solution

The fourth proportional to 8,569.34, 12,855.16 and 3,021.38 is: 4,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.34 : 12,855.16 = 3,021.38 : x
  2. Step 2: Convert to fraction form
    8,569.34/12,855.16 = 3,021.38/x
  3. Step 3: Cross multiply
    8,569.34x = 12,855.16 × 3,021.38
  4. Step 4: Simplify right side
    8,569.34x = 38,840,323.32
  5. Step 5: Solve for x
    x = 38,840,323.32/8,569.34
  6. Step 6: Final answer
    x = 4,532.48

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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.