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Finding the Fourth Proportional to 2,730.44, 4,095.58 and 756.20

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Solution

The fourth proportional to 2,730.44, 4,095.58 and 756.20 is: 1,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.44 : 4,095.58 = 756.20 : x
  2. Step 2: Convert to fraction form
    2,730.44/4,095.58 = 756.20/x
  3. Step 3: Cross multiply
    2,730.44x = 4,095.58 × 756.20
  4. Step 4: Simplify right side
    2,730.44x = 3,097,055.23
  5. Step 5: Solve for x
    x = 3,097,055.23/2,730.44
  6. Step 6: Final answer
    x = 1,134.27

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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.