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Finding the Fourth Proportional to 8,744.94, 13,118.86 and 3,480

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Solution

The fourth proportional to 8,744.94, 13,118.86 and 3,480 is: 5,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.94 : 13,118.86 = 3,480 : x
  2. Step 2: Convert to fraction form
    8,744.94/13,118.86 = 3,480/x
  3. Step 3: Cross multiply
    8,744.94x = 13,118.86 × 3,480
  4. Step 4: Simplify right side
    8,744.94x = 45,653,632.80
  5. Step 5: Solve for x
    x = 45,653,632.80/8,744.94
  6. Step 6: Final answer
    x = 5,220.58

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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.