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Finding the Fourth Proportional to 9,782, 14,675.16 and 3,626

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Solution

The fourth proportional to 9,782, 14,675.16 and 3,626 is: 5,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782 : 14,675.16 = 3,626 : x
  2. Step 2: Convert to fraction form
    9,782/14,675.16 = 3,626/x
  3. Step 3: Cross multiply
    9,782x = 14,675.16 × 3,626
  4. Step 4: Simplify right side
    9,782x = 53,212,130.16
  5. Step 5: Solve for x
    x = 53,212,130.16/9,782
  6. Step 6: Final answer
    x = 5,439.80

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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.