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Finding the Fourth Proportional to 3,339.30, 5,009.25 and 874.08

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Solution

The fourth proportional to 3,339.30, 5,009.25 and 874.08 is: 1,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.30 : 5,009.25 = 874.08 : x
  2. Step 2: Convert to fraction form
    3,339.30/5,009.25 = 874.08/x
  3. Step 3: Cross multiply
    3,339.30x = 5,009.25 × 874.08
  4. Step 4: Simplify right side
    3,339.30x = 4,378,485.24
  5. Step 5: Solve for x
    x = 4,378,485.24/3,339.30
  6. Step 6: Final answer
    x = 1,311.20

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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.