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Finding the Fourth Proportional to 2,956.40, 4,429.80 and 1,858.80

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Solution

The fourth proportional to 2,956.40, 4,429.80 and 1,858.80 is: 2,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.40 : 4,429.80 = 1,858.80 : x
  2. Step 2: Convert to fraction form
    2,956.40/4,429.80 = 1,858.80/x
  3. Step 3: Cross multiply
    2,956.40x = 4,429.80 × 1,858.80
  4. Step 4: Simplify right side
    2,956.40x = 8,234,112.24
  5. Step 5: Solve for x
    x = 8,234,112.24/2,956.40
  6. Step 6: Final answer
    x = 2,785.18

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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.