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Finding the Fourth Proportional to 2,614.36, 3,921.46 and 970.24

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Solution

The fourth proportional to 2,614.36, 3,921.46 and 970.24 is: 1,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.36 : 3,921.46 = 970.24 : x
  2. Step 2: Convert to fraction form
    2,614.36/3,921.46 = 970.24/x
  3. Step 3: Cross multiply
    2,614.36x = 3,921.46 × 970.24
  4. Step 4: Simplify right side
    2,614.36x = 3,804,757.35
  5. Step 5: Solve for x
    x = 3,804,757.35/2,614.36
  6. Step 6: Final answer
    x = 1,455.33

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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.