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Finding the Fourth Proportional to 2,443.70, 3,665.70 and 982.67

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Solution

The fourth proportional to 2,443.70, 3,665.70 and 982.67 is: 1,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.70 : 3,665.70 = 982.67 : x
  2. Step 2: Convert to fraction form
    2,443.70/3,665.70 = 982.67/x
  3. Step 3: Cross multiply
    2,443.70x = 3,665.70 × 982.67
  4. Step 4: Simplify right side
    2,443.70x = 3,602,155.09
  5. Step 5: Solve for x
    x = 3,602,155.09/2,443.70
  6. Step 6: Final answer
    x = 1,474.06

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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.