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Finding the Fourth Proportional to 2,450.60, 3,675.54 and 989.41

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Solution

The fourth proportional to 2,450.60, 3,675.54 and 989.41 is: 1,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.60 : 3,675.54 = 989.41 : x
  2. Step 2: Convert to fraction form
    2,450.60/3,675.54 = 989.41/x
  3. Step 3: Cross multiply
    2,450.60x = 3,675.54 × 989.41
  4. Step 4: Simplify right side
    2,450.60x = 3,636,607.11
  5. Step 5: Solve for x
    x = 3,636,607.11/2,450.60
  6. Step 6: Final answer
    x = 1,483.97

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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.