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Finding the Fourth Proportional to 8,424.40, 12,643.80 and 3,751.60

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Solution

The fourth proportional to 8,424.40, 12,643.80 and 3,751.60 is: 5,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.40 : 12,643.80 = 3,751.60 : x
  2. Step 2: Convert to fraction form
    8,424.40/12,643.80 = 3,751.60/x
  3. Step 3: Cross multiply
    8,424.40x = 12,643.80 × 3,751.60
  4. Step 4: Simplify right side
    8,424.40x = 47,434,480.08
  5. Step 5: Solve for x
    x = 47,434,480.08/8,424.40
  6. Step 6: Final answer
    x = 5,630.61

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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.