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Finding the Fourth Proportional to 8,580, 12,871.92 and 3,033.28

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Solution

The fourth proportional to 8,580, 12,871.92 and 3,033.28 is: 4,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 12,871.92 = 3,033.28 : x
  2. Step 2: Convert to fraction form
    8,580/12,871.92 = 3,033.28/x
  3. Step 3: Cross multiply
    8,580x = 12,871.92 × 3,033.28
  4. Step 4: Simplify right side
    8,580x = 39,044,137.50
  5. Step 5: Solve for x
    x = 39,044,137.50/8,580
  6. Step 6: Final answer
    x = 4,550.60

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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.