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Finding the Fourth Proportional to 8,202, 12,304.62 and 3,585

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Solution

The fourth proportional to 8,202, 12,304.62 and 3,585 is: 5,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 12,304.62 = 3,585 : x
  2. Step 2: Convert to fraction form
    8,202/12,304.62 = 3,585/x
  3. Step 3: Cross multiply
    8,202x = 12,304.62 × 3,585
  4. Step 4: Simplify right side
    8,202x = 44,112,062.70
  5. Step 5: Solve for x
    x = 44,112,062.70/8,202
  6. Step 6: Final answer
    x = 5,378.21

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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.