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Finding the Fourth Proportional to 2,293.91, 3,438.53 and 905.34

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Solution

The fourth proportional to 2,293.91, 3,438.53 and 905.34 is: 1,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.91 : 3,438.53 = 905.34 : x
  2. Step 2: Convert to fraction form
    2,293.91/3,438.53 = 905.34/x
  3. Step 3: Cross multiply
    2,293.91x = 3,438.53 × 905.34
  4. Step 4: Simplify right side
    2,293.91x = 3,113,038.75
  5. Step 5: Solve for x
    x = 3,113,038.75/2,293.91
  6. Step 6: Final answer
    x = 1,357.09

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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.