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Finding the Fourth Proportional to 2,948.25, 4,422.39 and 896.25

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Solution

The fourth proportional to 2,948.25, 4,422.39 and 896.25 is: 1,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.25 : 4,422.39 = 896.25 : x
  2. Step 2: Convert to fraction form
    2,948.25/4,422.39 = 896.25/x
  3. Step 3: Cross multiply
    2,948.25x = 4,422.39 × 896.25
  4. Step 4: Simplify right side
    2,948.25x = 3,963,567.04
  5. Step 5: Solve for x
    x = 3,963,567.04/2,948.25
  6. Step 6: Final answer
    x = 1,344.38

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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.