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Finding the Fourth Proportional to 2,919.33, 4,378.46 and 971.01

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Solution

The fourth proportional to 2,919.33, 4,378.46 and 971.01 is: 1,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.33 : 4,378.46 = 971.01 : x
  2. Step 2: Convert to fraction form
    2,919.33/4,378.46 = 971.01/x
  3. Step 3: Cross multiply
    2,919.33x = 4,378.46 × 971.01
  4. Step 4: Simplify right side
    2,919.33x = 4,251,523.59
  5. Step 5: Solve for x
    x = 4,251,523.59/2,919.33
  6. Step 6: Final answer
    x = 1,456.34

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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.