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Finding the Fourth Proportional to 8,438.98, 12,661.40 and 3,762.32

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Solution

The fourth proportional to 8,438.98, 12,661.40 and 3,762.32 is: 5,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.98 : 12,661.40 = 3,762.32 : x
  2. Step 2: Convert to fraction form
    8,438.98/12,661.40 = 3,762.32/x
  3. Step 3: Cross multiply
    8,438.98x = 12,661.40 × 3,762.32
  4. Step 4: Simplify right side
    8,438.98x = 47,636,238.45
  5. Step 5: Solve for x
    x = 47,636,238.45/8,438.98
  6. Step 6: Final answer
    x = 5,644.79

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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.