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Finding the Fourth Proportional to 2,292.88, 3,439.16 and 906.42

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Solution

The fourth proportional to 2,292.88, 3,439.16 and 906.42 is: 1,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.88 : 3,439.16 = 906.42 : x
  2. Step 2: Convert to fraction form
    2,292.88/3,439.16 = 906.42/x
  3. Step 3: Cross multiply
    2,292.88x = 3,439.16 × 906.42
  4. Step 4: Simplify right side
    2,292.88x = 3,117,323.41
  5. Step 5: Solve for x
    x = 3,117,323.41/2,292.88
  6. Step 6: Final answer
    x = 1,359.57

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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.