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Finding the Fourth Proportional to 6,112.80, 9,169.20 and 6,074.40

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Solution

The fourth proportional to 6,112.80, 9,169.20 and 6,074.40 is: 9,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.80 : 9,169.20 = 6,074.40 : x
  2. Step 2: Convert to fraction form
    6,112.80/9,169.20 = 6,074.40/x
  3. Step 3: Cross multiply
    6,112.80x = 9,169.20 × 6,074.40
  4. Step 4: Simplify right side
    6,112.80x = 55,697,388.48
  5. Step 5: Solve for x
    x = 55,697,388.48/6,112.80
  6. Step 6: Final answer
    x = 9,111.60

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1.5x scale

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.