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Finding the Fourth Proportional to 8,744.34, 12,069.16 and 5,209.50

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Solution

The fourth proportional to 8,744.34, 12,069.16 and 5,209.50 is: 7,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.34 : 12,069.16 = 5,209.50 : x
  2. Step 2: Convert to fraction form
    8,744.34/12,069.16 = 5,209.50/x
  3. Step 3: Cross multiply
    8,744.34x = 12,069.16 × 5,209.50
  4. Step 4: Simplify right side
    8,744.34x = 62,874,289.02
  5. Step 5: Solve for x
    x = 62,874,289.02/8,744.34
  6. Step 6: Final answer
    x = 7,190.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.