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Finding the Fourth Proportional to 3,247, 4,870.42 and 1,785.36

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Solution

The fourth proportional to 3,247, 4,870.42 and 1,785.36 is: 2,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247 : 4,870.42 = 1,785.36 : x
  2. Step 2: Convert to fraction form
    3,247/4,870.42 = 1,785.36/x
  3. Step 3: Cross multiply
    3,247x = 4,870.42 × 1,785.36
  4. Step 4: Simplify right side
    3,247x = 8,695,453.05
  5. Step 5: Solve for x
    x = 8,695,453.05/3,247
  6. Step 6: Final answer
    x = 2,678.00

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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.