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Finding the Fourth Proportional to 3,214.80, 4,818 and 1,264.32

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Solution

The fourth proportional to 3,214.80, 4,818 and 1,264.32 is: 1,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.80 : 4,818 = 1,264.32 : x
  2. Step 2: Convert to fraction form
    3,214.80/4,818 = 1,264.32/x
  3. Step 3: Cross multiply
    3,214.80x = 4,818 × 1,264.32
  4. Step 4: Simplify right side
    3,214.80x = 6,091,493.76
  5. Step 5: Solve for x
    x = 6,091,493.76/3,214.80
  6. Step 6: Final answer
    x = 1,894.83

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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.