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Finding the Fourth Proportional to 3,012.80, 4,520.20 and 1,164.20

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Solution

The fourth proportional to 3,012.80, 4,520.20 and 1,164.20 is: 1,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.80 : 4,520.20 = 1,164.20 : x
  2. Step 2: Convert to fraction form
    3,012.80/4,520.20 = 1,164.20/x
  3. Step 3: Cross multiply
    3,012.80x = 4,520.20 × 1,164.20
  4. Step 4: Simplify right side
    3,012.80x = 5,262,416.84
  5. Step 5: Solve for x
    x = 5,262,416.84/3,012.80
  6. Step 6: Final answer
    x = 1,746.69

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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.