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Finding the Fourth Proportional to 3,488.73, 5,230.36 and 1,638.89

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Solution

The fourth proportional to 3,488.73, 5,230.36 and 1,638.89 is: 2,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.73 : 5,230.36 = 1,638.89 : x
  2. Step 2: Convert to fraction form
    3,488.73/5,230.36 = 1,638.89/x
  3. Step 3: Cross multiply
    3,488.73x = 5,230.36 × 1,638.89
  4. Step 4: Simplify right side
    3,488.73x = 8,571,999.82
  5. Step 5: Solve for x
    x = 8,571,999.82/3,488.73
  6. Step 6: Final answer
    x = 2,457.05

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1.5x scale

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.