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Finding the Fourth Proportional to 3,220, 4,443.60 and 1,748

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Solution

The fourth proportional to 3,220, 4,443.60 and 1,748 is: 2,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 4,443.60 = 1,748 : x
  2. Step 2: Convert to fraction form
    3,220/4,443.60 = 1,748/x
  3. Step 3: Cross multiply
    3,220x = 4,443.60 × 1,748
  4. Step 4: Simplify right side
    3,220x = 7,767,412.80
  5. Step 5: Solve for x
    x = 7,767,412.80/3,220
  6. Step 6: Final answer
    x = 2,412.24

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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.