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Finding the Fourth Proportional to 2,944.30, 4,416.47 and 864.34

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Solution

The fourth proportional to 2,944.30, 4,416.47 and 864.34 is: 1,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.30 : 4,416.47 = 864.34 : x
  2. Step 2: Convert to fraction form
    2,944.30/4,416.47 = 864.34/x
  3. Step 3: Cross multiply
    2,944.30x = 4,416.47 × 864.34
  4. Step 4: Simplify right side
    2,944.30x = 3,817,322.80
  5. Step 5: Solve for x
    x = 3,817,322.80/2,944.30
  6. Step 6: Final answer
    x = 1,296.51

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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.