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Finding the Fourth Proportional to 3,214.34, 4,821.80 and 874.48

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Solution

The fourth proportional to 3,214.34, 4,821.80 and 874.48 is: 1,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.34 : 4,821.80 = 874.48 : x
  2. Step 2: Convert to fraction form
    3,214.34/4,821.80 = 874.48/x
  3. Step 3: Cross multiply
    3,214.34x = 4,821.80 × 874.48
  4. Step 4: Simplify right side
    3,214.34x = 4,216,567.66
  5. Step 5: Solve for x
    x = 4,216,567.66/3,214.34
  6. Step 6: Final answer
    x = 1,311.80

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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.