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Finding the Fourth Proportional to 3,220, 4,443.62 and 1,893.76

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Solution

The fourth proportional to 3,220, 4,443.62 and 1,893.76 is: 2,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 4,443.62 = 1,893.76 : x
  2. Step 2: Convert to fraction form
    3,220/4,443.62 = 1,893.76/x
  3. Step 3: Cross multiply
    3,220x = 4,443.62 × 1,893.76
  4. Step 4: Simplify right side
    3,220x = 8,415,149.81
  5. Step 5: Solve for x
    x = 8,415,149.81/3,220
  6. Step 6: Final answer
    x = 2,613.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.