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Finding the Fourth Proportional to 8,762.31, 13,143.13 and 2,188.49

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Solution

The fourth proportional to 8,762.31, 13,143.13 and 2,188.49 is: 3,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.31 : 13,143.13 = 2,188.49 : x
  2. Step 2: Convert to fraction form
    8,762.31/13,143.13 = 2,188.49/x
  3. Step 3: Cross multiply
    8,762.31x = 13,143.13 × 2,188.49
  4. Step 4: Simplify right side
    8,762.31x = 28,763,537.39
  5. Step 5: Solve for x
    x = 28,763,537.39/8,762.31
  6. Step 6: Final answer
    x = 3,282.64

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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.