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Finding the Fourth Proportional to 1,964.65, 2,945.15 and 989.62

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Solution

The fourth proportional to 1,964.65, 2,945.15 and 989.62 is: 1,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.65 : 2,945.15 = 989.62 : x
  2. Step 2: Convert to fraction form
    1,964.65/2,945.15 = 989.62/x
  3. Step 3: Cross multiply
    1,964.65x = 2,945.15 × 989.62
  4. Step 4: Simplify right side
    1,964.65x = 2,914,579.34
  5. Step 5: Solve for x
    x = 2,914,579.34/1,964.65
  6. Step 6: Final answer
    x = 1,483.51

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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.