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Finding the Fourth Proportional to 2,919.66, 4,380.17 and 971.88

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Solution

The fourth proportional to 2,919.66, 4,380.17 and 971.88 is: 1,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.66 : 4,380.17 = 971.88 : x
  2. Step 2: Convert to fraction form
    2,919.66/4,380.17 = 971.88/x
  3. Step 3: Cross multiply
    2,919.66x = 4,380.17 × 971.88
  4. Step 4: Simplify right side
    2,919.66x = 4,256,994.76
  5. Step 5: Solve for x
    x = 4,256,994.76/2,919.66
  6. Step 6: Final answer
    x = 1,458.04

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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.