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Finding the Fourth Proportional to 2,754.65, 4,132.25 and 905.69

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Solution

The fourth proportional to 2,754.65, 4,132.25 and 905.69 is: 1,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.65 : 4,132.25 = 905.69 : x
  2. Step 2: Convert to fraction form
    2,754.65/4,132.25 = 905.69/x
  3. Step 3: Cross multiply
    2,754.65x = 4,132.25 × 905.69
  4. Step 4: Simplify right side
    2,754.65x = 3,742,537.50
  5. Step 5: Solve for x
    x = 3,742,537.50/2,754.65
  6. Step 6: Final answer
    x = 1,358.63

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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.