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Finding the Fourth Proportional to 3,467.70, 5,201.51 and 870.62

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Solution

The fourth proportional to 3,467.70, 5,201.51 and 870.62 is: 1,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.70 : 5,201.51 = 870.62 : x
  2. Step 2: Convert to fraction form
    3,467.70/5,201.51 = 870.62/x
  3. Step 3: Cross multiply
    3,467.70x = 5,201.51 × 870.62
  4. Step 4: Simplify right side
    3,467.70x = 4,528,508.28
  5. Step 5: Solve for x
    x = 4,528,508.28/3,467.70
  6. Step 6: Final answer
    x = 1,305.91

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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.