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Finding the Fourth Proportional to 8,490, 12,740.12 and 3,626

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Solution

The fourth proportional to 8,490, 12,740.12 and 3,626 is: 5,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 12,740.12 = 3,626 : x
  2. Step 2: Convert to fraction form
    8,490/12,740.12 = 3,626/x
  3. Step 3: Cross multiply
    8,490x = 12,740.12 × 3,626
  4. Step 4: Simplify right side
    8,490x = 46,195,675.12
  5. Step 5: Solve for x
    x = 46,195,675.12/8,490
  6. Step 6: Final answer
    x = 5,441.19

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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.